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Finding the Fourth Proportional to 155,259.40, 232,889.10 and 102,115.30

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Solution

The fourth proportional to 155,259.40, 232,889.10 and 102,115.30 is: 153,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,259.40 : 232,889.10 = 102,115.30 : x
  2. Step 2: Convert to fraction form
    155,259.40/232,889.10 = 102,115.30/x
  3. Step 3: Cross multiply
    155,259.40x = 232,889.10 × 102,115.30
  4. Step 4: Simplify right side
    155,259.40x = 23,781,540,313.23
  5. Step 5: Solve for x
    x = 23,781,540,313.23/155,259.40
  6. Step 6: Final answer
    x = 153,172.95

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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.