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Finding the Fourth Proportional to 106,765.70, 147,334.65 and 59,018.02

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Solution

The fourth proportional to 106,765.70, 147,334.65 and 59,018.02 is: 81,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,765.70 : 147,334.65 = 59,018.02 : x
  2. Step 2: Convert to fraction form
    106,765.70/147,334.65 = 59,018.02/x
  3. Step 3: Cross multiply
    106,765.70x = 147,334.65 × 59,018.02
  4. Step 4: Simplify right side
    106,765.70x = 8,695,398,730.74
  5. Step 5: Solve for x
    x = 8,695,398,730.74/106,765.70
  6. Step 6: Final answer
    x = 81,443.75

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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.