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Finding the Fourth Proportional to 157,026.10, 216,694.20 and 85,404.58

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Solution

The fourth proportional to 157,026.10, 216,694.20 and 85,404.58 is: 117,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,026.10 : 216,694.20 = 85,404.58 : x
  2. Step 2: Convert to fraction form
    157,026.10/216,694.20 = 85,404.58/x
  3. Step 3: Cross multiply
    157,026.10x = 216,694.20 × 85,404.58
  4. Step 4: Simplify right side
    157,026.10x = 18,506,677,139.44
  5. Step 5: Solve for x
    x = 18,506,677,139.44/157,026.10
  6. Step 6: Final answer
    x = 117,857.33

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