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Finding the Fourth Proportional to 161,248.30, 241,921.05 and 86,404.30

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Solution

The fourth proportional to 161,248.30, 241,921.05 and 86,404.30 is: 129,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,248.30 : 241,921.05 = 86,404.30 : x
  2. Step 2: Convert to fraction form
    161,248.30/241,921.05 = 86,404.30/x
  3. Step 3: Cross multiply
    161,248.30x = 241,921.05 × 86,404.30
  4. Step 4: Simplify right side
    161,248.30x = 20,903,018,980.52
  5. Step 5: Solve for x
    x = 20,903,018,980.52/161,248.30
  6. Step 6: Final answer
    x = 129,632.49

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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.