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Finding the Fourth Proportional to 115,200.90, 172,801.35 and 102,078.90

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Solution

The fourth proportional to 115,200.90, 172,801.35 and 102,078.90 is: 153,118.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200.90 : 172,801.35 = 102,078.90 : x
  2. Step 2: Convert to fraction form
    115,200.90/172,801.35 = 102,078.90/x
  3. Step 3: Cross multiply
    115,200.90x = 172,801.35 × 102,078.90
  4. Step 4: Simplify right side
    115,200.90x = 17,639,371,726.52
  5. Step 5: Solve for x
    x = 17,639,371,726.52/115,200.90
  6. Step 6: Final answer
    x = 153,118.35

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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.