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Finding the Fourth Proportional to 117,569.60, 176,095.20 and 82,318.40

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Solution

The fourth proportional to 117,569.60, 176,095.20 and 82,318.40 is: 123,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,569.60 : 176,095.20 = 82,318.40 : x
  2. Step 2: Convert to fraction form
    117,569.60/176,095.20 = 82,318.40/x
  3. Step 3: Cross multiply
    117,569.60x = 176,095.20 × 82,318.40
  4. Step 4: Simplify right side
    117,569.60x = 14,495,875,111.68
  5. Step 5: Solve for x
    x = 14,495,875,111.68/117,569.60
  6. Step 6: Final answer
    x = 123,296.12

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Why These Related Problems?

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