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Finding the Fourth Proportional to 104,702.81, 156,994.53 and 71,463.11

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Solution

The fourth proportional to 104,702.81, 156,994.53 and 71,463.11 is: 107,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,702.81 : 156,994.53 = 71,463.11 : x
  2. Step 2: Convert to fraction form
    104,702.81/156,994.53 = 71,463.11/x
  3. Step 3: Cross multiply
    104,702.81x = 156,994.53 × 71,463.11
  4. Step 4: Simplify right side
    104,702.81x = 11,219,316,581.82
  5. Step 5: Solve for x
    x = 11,219,316,581.82/104,702.81
  6. Step 6: Final answer
    x = 107,153.93

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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.