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Finding the Fourth Proportional to 157,133.94, 216,867.18 and 89,167.68

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Solution

The fourth proportional to 157,133.94, 216,867.18 and 89,167.68 is: 123,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,133.94 : 216,867.18 = 89,167.68 : x
  2. Step 2: Convert to fraction form
    157,133.94/216,867.18 = 89,167.68/x
  3. Step 3: Cross multiply
    157,133.94x = 216,867.18 × 89,167.68
  4. Step 4: Simplify right side
    157,133.94x = 19,337,543,308.74
  5. Step 5: Solve for x
    x = 19,337,543,308.74/157,133.94
  6. Step 6: Final answer
    x = 123,064.08

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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.