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Finding the Fourth Proportional to 102,153.99, 153,373.14 and 52,268.52

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Solution

The fourth proportional to 102,153.99, 153,373.14 and 52,268.52 is: 78,475.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,153.99 : 153,373.14 = 52,268.52 : x
  2. Step 2: Convert to fraction form
    102,153.99/153,373.14 = 52,268.52/x
  3. Step 3: Cross multiply
    102,153.99x = 153,373.14 × 52,268.52
  4. Step 4: Simplify right side
    102,153.99x = 8,016,587,035.55
  5. Step 5: Solve for x
    x = 8,016,587,035.55/102,153.99
  6. Step 6: Final answer
    x = 78,475.52

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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.