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Finding the Fourth Proportional to 196,297.40, 294,446.10 and 156,931.40

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Solution

The fourth proportional to 196,297.40, 294,446.10 and 156,931.40 is: 235,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,297.40 : 294,446.10 = 156,931.40 : x
  2. Step 2: Convert to fraction form
    196,297.40/294,446.10 = 156,931.40/x
  3. Step 3: Cross multiply
    196,297.40x = 294,446.10 × 156,931.40
  4. Step 4: Simplify right side
    196,297.40x = 46,207,838,697.54
  5. Step 5: Solve for x
    x = 46,207,838,697.54/196,297.40
  6. Step 6: Final answer
    x = 235,397.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.