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Finding the Fourth Proportional to 114,788, 172,452.48 and 67,524.16

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Solution

The fourth proportional to 114,788, 172,452.48 and 67,524.16 is: 101,445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,788 : 172,452.48 = 67,524.16 : x
  2. Step 2: Convert to fraction form
    114,788/172,452.48 = 67,524.16/x
  3. Step 3: Cross multiply
    114,788x = 172,452.48 × 67,524.16
  4. Step 4: Simplify right side
    114,788x = 11,644,708,851.92
  5. Step 5: Solve for x
    x = 11,644,708,851.92/114,788
  6. Step 6: Final answer
    x = 101,445.35

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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.