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Finding the Fourth Proportional to 102,248.96, 153,203.34 and 35,652.38

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Solution

The fourth proportional to 102,248.96, 153,203.34 and 35,652.38 is: 53,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248.96 : 153,203.34 = 35,652.38 : x
  2. Step 2: Convert to fraction form
    102,248.96/153,203.34 = 35,652.38/x
  3. Step 3: Cross multiply
    102,248.96x = 153,203.34 × 35,652.38
  4. Step 4: Simplify right side
    102,248.96x = 5,462,063,694.95
  5. Step 5: Solve for x
    x = 5,462,063,694.95/102,248.96
  6. Step 6: Final answer
    x = 53,419.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.