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Finding the Fourth Proportional to 133,051.90, 199,642.65 and 101,451.10

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Solution

The fourth proportional to 133,051.90, 199,642.65 and 101,451.10 is: 152,226.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,051.90 : 199,642.65 = 101,451.10 : x
  2. Step 2: Convert to fraction form
    133,051.90/199,642.65 = 101,451.10/x
  3. Step 3: Cross multiply
    133,051.90x = 199,642.65 × 101,451.10
  4. Step 4: Simplify right side
    133,051.90x = 20,253,966,449.42
  5. Step 5: Solve for x
    x = 20,253,966,449.42/133,051.90
  6. Step 6: Final answer
    x = 152,226.06

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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.