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Finding the Fourth Proportional to 110,006.54, 151,809.10 and 59,705.54

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Solution

The fourth proportional to 110,006.54, 151,809.10 and 59,705.54 is: 82,393.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,006.54 : 151,809.10 = 59,705.54 : x
  2. Step 2: Convert to fraction form
    110,006.54/151,809.10 = 59,705.54/x
  3. Step 3: Cross multiply
    110,006.54x = 151,809.10 × 59,705.54
  4. Step 4: Simplify right side
    110,006.54x = 9,063,844,292.41
  5. Step 5: Solve for x
    x = 9,063,844,292.41/110,006.54
  6. Step 6: Final answer
    x = 82,393.69

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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.