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Finding the Fourth Proportional to 267,814.12, 401,721.06 and 101,602.12

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Solution

The fourth proportional to 267,814.12, 401,721.06 and 101,602.12 is: 152,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,814.12 : 401,721.06 = 101,602.12 : x
  2. Step 2: Convert to fraction form
    267,814.12/401,721.06 = 101,602.12/x
  3. Step 3: Cross multiply
    267,814.12x = 401,721.06 × 101,602.12
  4. Step 4: Simplify right side
    267,814.12x = 40,815,711,344.65
  5. Step 5: Solve for x
    x = 40,815,711,344.65/267,814.12
  6. Step 6: Final answer
    x = 152,403.13

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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.