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Finding the Fourth Proportional to 119,314.50, 164,644.28 and 70,248.38

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Solution

The fourth proportional to 119,314.50, 164,644.28 and 70,248.38 is: 96,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,314.50 : 164,644.28 = 70,248.38 : x
  2. Step 2: Convert to fraction form
    119,314.50/164,644.28 = 70,248.38/x
  3. Step 3: Cross multiply
    119,314.50x = 164,644.28 × 70,248.38
  4. Step 4: Simplify right side
    119,314.50x = 11,565,993,520.93
  5. Step 5: Solve for x
    x = 11,565,993,520.93/119,314.50
  6. Step 6: Final answer
    x = 96,937.03

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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.