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Finding the Fourth Proportional to 113,531.34, 156,666.38 and 65,776.44

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Solution

The fourth proportional to 113,531.34, 156,666.38 and 65,776.44 is: 90,767.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,531.34 : 156,666.38 = 65,776.44 : x
  2. Step 2: Convert to fraction form
    113,531.34/156,666.38 = 65,776.44/x
  3. Step 3: Cross multiply
    113,531.34x = 156,666.38 × 65,776.44
  4. Step 4: Simplify right side
    113,531.34x = 10,304,956,415.21
  5. Step 5: Solve for x
    x = 10,304,956,415.21/113,531.34
  6. Step 6: Final answer
    x = 90,767.50

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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.