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Finding the Fourth Proportional to 97,871.58, 146,702.42 and 64,124.85

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Solution

The fourth proportional to 97,871.58, 146,702.42 and 64,124.85 is: 96,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.58 : 146,702.42 = 64,124.85 : x
  2. Step 2: Convert to fraction form
    97,871.58/146,702.42 = 64,124.85/x
  3. Step 3: Cross multiply
    97,871.58x = 146,702.42 × 64,124.85
  4. Step 4: Simplify right side
    97,871.58x = 9,407,270,677.14
  5. Step 5: Solve for x
    x = 9,407,270,677.14/97,871.58
  6. Step 6: Final answer
    x = 96,118.51

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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.