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Finding the Fourth Proportional to 106,980.60, 147,631.50 and 59,233.80

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Solution

The fourth proportional to 106,980.60, 147,631.50 and 59,233.80 is: 81,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,980.60 : 147,631.50 = 59,233.80 : x
  2. Step 2: Convert to fraction form
    106,980.60/147,631.50 = 59,233.80/x
  3. Step 3: Cross multiply
    106,980.60x = 147,631.50 × 59,233.80
  4. Step 4: Simplify right side
    106,980.60x = 8,744,774,744.70
  5. Step 5: Solve for x
    x = 8,744,774,744.70/106,980.60
  6. Step 6: Final answer
    x = 81,741.69

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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.