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Finding the Fourth Proportional to 115,209.60, 172,639.08 and 85,488

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Solution

The fourth proportional to 115,209.60, 172,639.08 and 85,488 is: 128,101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,209.60 : 172,639.08 = 85,488 : x
  2. Step 2: Convert to fraction form
    115,209.60/172,639.08 = 85,488/x
  3. Step 3: Cross multiply
    115,209.60x = 172,639.08 × 85,488
  4. Step 4: Simplify right side
    115,209.60x = 14,758,569,671.04
  5. Step 5: Solve for x
    x = 14,758,569,671.04/115,209.60
  6. Step 6: Final answer
    x = 128,101.91

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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.