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Finding the Fourth Proportional to 157,549.40, 236,324.10 and 137,866.40

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Solution

The fourth proportional to 157,549.40, 236,324.10 and 137,866.40 is: 206,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,549.40 : 236,324.10 = 137,866.40 : x
  2. Step 2: Convert to fraction form
    157,549.40/236,324.10 = 137,866.40/x
  3. Step 3: Cross multiply
    157,549.40x = 236,324.10 × 137,866.40
  4. Step 4: Simplify right side
    157,549.40x = 32,581,152,900.24
  5. Step 5: Solve for x
    x = 32,581,152,900.24/157,549.40
  6. Step 6: Final answer
    x = 206,799.60

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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.