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Finding the Fourth Proportional to 230,127.92, 345,275.16 and 117,861.01

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Solution

The fourth proportional to 230,127.92, 345,275.16 and 117,861.01 is: 176,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,127.92 : 345,275.16 = 117,861.01 : x
  2. Step 2: Convert to fraction form
    230,127.92/345,275.16 = 117,861.01/x
  3. Step 3: Cross multiply
    230,127.92x = 345,275.16 × 117,861.01
  4. Step 4: Simplify right side
    230,127.92x = 40,694,477,780.34
  5. Step 5: Solve for x
    x = 40,694,477,780.34/230,127.92
  6. Step 6: Final answer
    x = 176,834.16

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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.