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Finding the Fourth Proportional to 109,970.70, 151,761.33 and 59,669.70

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Solution

The fourth proportional to 109,970.70, 151,761.33 and 59,669.70 is: 82,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,970.70 : 151,761.33 = 59,669.70 : x
  2. Step 2: Convert to fraction form
    109,970.70/151,761.33 = 59,669.70/x
  3. Step 3: Cross multiply
    109,970.70x = 151,761.33 × 59,669.70
  4. Step 4: Simplify right side
    109,970.70x = 9,055,553,032.70
  5. Step 5: Solve for x
    x = 9,055,553,032.70/109,970.70
  6. Step 6: Final answer
    x = 82,345.14

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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.