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Finding the Fourth Proportional to 102,143.72, 153,359.15 and 52,259.60

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Solution

The fourth proportional to 102,143.72, 153,359.15 and 52,259.60 is: 78,462.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,143.72 : 153,359.15 = 52,259.60 : x
  2. Step 2: Convert to fraction form
    102,143.72/153,359.15 = 52,259.60/x
  3. Step 3: Cross multiply
    102,143.72x = 153,359.15 × 52,259.60
  4. Step 4: Simplify right side
    102,143.72x = 8,014,486,807.25
  5. Step 5: Solve for x
    x = 8,014,486,807.25/102,143.72
  6. Step 6: Final answer
    x = 78,462.85

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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.