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Finding the Fourth Proportional to 148,841.32, 223,266.30 and 65,741.80

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Solution

The fourth proportional to 148,841.32, 223,266.30 and 65,741.80 is: 98,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,841.32 : 223,266.30 = 65,741.80 : x
  2. Step 2: Convert to fraction form
    148,841.32/223,266.30 = 65,741.80/x
  3. Step 3: Cross multiply
    148,841.32x = 223,266.30 × 65,741.80
  4. Step 4: Simplify right side
    148,841.32x = 14,677,928,441.34
  5. Step 5: Solve for x
    x = 14,677,928,441.34/148,841.32
  6. Step 6: Final answer
    x = 98,614.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.