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Finding the Fourth Proportional to 217,726.53, 326,457.16 and 97,760.18

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Solution

The fourth proportional to 217,726.53, 326,457.16 and 97,760.18 is: 146,580.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,726.53 : 326,457.16 = 97,760.18 : x
  2. Step 2: Convert to fraction form
    217,726.53/326,457.16 = 97,760.18/x
  3. Step 3: Cross multiply
    217,726.53x = 326,457.16 × 97,760.18
  4. Step 4: Simplify right side
    217,726.53x = 31,914,511,535.59
  5. Step 5: Solve for x
    x = 31,914,511,535.59/217,726.53
  6. Step 6: Final answer
    x = 146,580.72

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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.