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Finding the Fourth Proportional to 174,381.13, 240,653.87 and 102,764.17

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Solution

The fourth proportional to 174,381.13, 240,653.87 and 102,764.17 is: 141,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,381.13 : 240,653.87 = 102,764.17 : x
  2. Step 2: Convert to fraction form
    174,381.13/240,653.87 = 102,764.17/x
  3. Step 3: Cross multiply
    174,381.13x = 240,653.87 × 102,764.17
  4. Step 4: Simplify right side
    174,381.13x = 24,730,595,207.84
  5. Step 5: Solve for x
    x = 24,730,595,207.84/174,381.13
  6. Step 6: Final answer
    x = 141,819.22

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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.