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Finding the Fourth Proportional to 157,208.76, 216,952.71 and 89,224.23

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Solution

The fourth proportional to 157,208.76, 216,952.71 and 89,224.23 is: 123,132.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,208.76 : 216,952.71 = 89,224.23 : x
  2. Step 2: Convert to fraction form
    157,208.76/216,952.71 = 89,224.23/x
  3. Step 3: Cross multiply
    157,208.76x = 216,952.71 × 89,224.23
  4. Step 4: Simplify right side
    157,208.76x = 19,357,438,496.16
  5. Step 5: Solve for x
    x = 19,357,438,496.16/157,208.76
  6. Step 6: Final answer
    x = 123,132.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.