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Finding the Fourth Proportional to 153,812.52, 230,717.40 and 48,631.56

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Solution

The fourth proportional to 153,812.52, 230,717.40 and 48,631.56 is: 72,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,812.52 : 230,717.40 = 48,631.56 : x
  2. Step 2: Convert to fraction form
    153,812.52/230,717.40 = 48,631.56/x
  3. Step 3: Cross multiply
    153,812.52x = 230,717.40 × 48,631.56
  4. Step 4: Simplify right side
    153,812.52x = 11,220,147,081.14
  5. Step 5: Solve for x
    x = 11,220,147,081.14/153,812.52
  6. Step 6: Final answer
    x = 72,946.90

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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.