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Finding the Fourth Proportional to 196,703.40, 295,200.90 and 144,215.40

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Solution

The fourth proportional to 196,703.40, 295,200.90 and 144,215.40 is: 216,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,703.40 : 295,200.90 = 144,215.40 : x
  2. Step 2: Convert to fraction form
    196,703.40/295,200.90 = 144,215.40/x
  3. Step 3: Cross multiply
    196,703.40x = 295,200.90 × 144,215.40
  4. Step 4: Simplify right side
    196,703.40x = 42,572,515,873.86
  5. Step 5: Solve for x
    x = 42,572,515,873.86/196,703.40
  6. Step 6: Final answer
    x = 216,429.99

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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.