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Finding the Fourth Proportional to 157,141, 216,854.58 and 90,111.88

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Solution

The fourth proportional to 157,141, 216,854.58 and 90,111.88 is: 124,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,141 : 216,854.58 = 90,111.88 : x
  2. Step 2: Convert to fraction form
    157,141/216,854.58 = 90,111.88/x
  3. Step 3: Cross multiply
    157,141x = 216,854.58 × 90,111.88
  4. Step 4: Simplify right side
    157,141x = 19,541,173,890.41
  5. Step 5: Solve for x
    x = 19,541,173,890.41/157,141
  6. Step 6: Final answer
    x = 124,354.39

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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.