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Finding the Fourth Proportional to 117,098.76, 175,666.50 and 38,194.77

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Solution

The fourth proportional to 117,098.76, 175,666.50 and 38,194.77 is: 57,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,098.76 : 175,666.50 = 38,194.77 : x
  2. Step 2: Convert to fraction form
    117,098.76/175,666.50 = 38,194.77/x
  3. Step 3: Cross multiply
    117,098.76x = 175,666.50 × 38,194.77
  4. Step 4: Simplify right side
    117,098.76x = 6,709,541,564.21
  5. Step 5: Solve for x
    x = 6,709,541,564.21/117,098.76
  6. Step 6: Final answer
    x = 57,298.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.