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Finding the Fourth Proportional to 115,439.30, 172,830.90 and 102,317.30

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Solution

The fourth proportional to 115,439.30, 172,830.90 and 102,317.30 is: 153,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,439.30 : 172,830.90 = 102,317.30 : x
  2. Step 2: Convert to fraction form
    115,439.30/172,830.90 = 102,317.30/x
  3. Step 3: Cross multiply
    115,439.30x = 172,830.90 × 102,317.30
  4. Step 4: Simplify right side
    115,439.30x = 17,683,591,044.57
  5. Step 5: Solve for x
    x = 17,683,591,044.57/115,439.30
  6. Step 6: Final answer
    x = 153,185.19

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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.