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Finding the Fourth Proportional to 102,298.70, 153,349.62 and 52,402.30

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Solution

The fourth proportional to 102,298.70, 153,349.62 and 52,402.30 is: 78,553.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298.70 : 153,349.62 = 52,402.30 : x
  2. Step 2: Convert to fraction form
    102,298.70/153,349.62 = 52,402.30/x
  3. Step 3: Cross multiply
    102,298.70x = 153,349.62 × 52,402.30
  4. Step 4: Simplify right side
    102,298.70x = 8,035,872,792.13
  5. Step 5: Solve for x
    x = 8,035,872,792.13/102,298.70
  6. Step 6: Final answer
    x = 78,553.03

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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.