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Finding the Fourth Proportional to 153,882.92, 230,801.24 and 48,688.20

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Solution

The fourth proportional to 153,882.92, 230,801.24 and 48,688.20 is: 73,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,882.92 : 230,801.24 = 48,688.20 : x
  2. Step 2: Convert to fraction form
    153,882.92/230,801.24 = 48,688.20/x
  3. Step 3: Cross multiply
    153,882.92x = 230,801.24 × 48,688.20
  4. Step 4: Simplify right side
    153,882.92x = 11,237,296,933.37
  5. Step 5: Solve for x
    x = 11,237,296,933.37/153,882.92
  6. Step 6: Final answer
    x = 73,024.98

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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.