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Finding the Fourth Proportional to 161,654.13, 242,368.47 and 71,648.01

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Solution

The fourth proportional to 161,654.13, 242,368.47 and 71,648.01 is: 107,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,654.13 : 242,368.47 = 71,648.01 : x
  2. Step 2: Convert to fraction form
    161,654.13/242,368.47 = 71,648.01/x
  3. Step 3: Cross multiply
    161,654.13x = 242,368.47 × 71,648.01
  4. Step 4: Simplify right side
    161,654.13x = 17,365,218,562.24
  5. Step 5: Solve for x
    x = 17,365,218,562.24/161,654.13
  6. Step 6: Final answer
    x = 107,422.05

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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.