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Finding the Fourth Proportional to 197,411.40, 296,044.20 and 97,538.40

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Solution

The fourth proportional to 197,411.40, 296,044.20 and 97,538.40 is: 146,271.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,411.40 : 296,044.20 = 97,538.40 : x
  2. Step 2: Convert to fraction form
    197,411.40/296,044.20 = 97,538.40/x
  3. Step 3: Cross multiply
    197,411.40x = 296,044.20 × 97,538.40
  4. Step 4: Simplify right side
    197,411.40x = 28,875,677,597.28
  5. Step 5: Solve for x
    x = 28,875,677,597.28/197,411.40
  6. Step 6: Final answer
    x = 146,271.58

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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.