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Finding the Fourth Proportional to 102,392.10, 141,388.38 and 64,215.90

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Solution

The fourth proportional to 102,392.10, 141,388.38 and 64,215.90 is: 88,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.10 : 141,388.38 = 64,215.90 : x
  2. Step 2: Convert to fraction form
    102,392.10/141,388.38 = 64,215.90/x
  3. Step 3: Cross multiply
    102,392.10x = 141,388.38 × 64,215.90
  4. Step 4: Simplify right side
    102,392.10x = 9,079,382,071.24
  5. Step 5: Solve for x
    x = 9,079,382,071.24/102,392.10
  6. Step 6: Final answer
    x = 88,672.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.