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Finding the Fourth Proportional to 207,726.76, 311,465.62 and 95,266.12

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Solution

The fourth proportional to 207,726.76, 311,465.62 and 95,266.12 is: 142,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,726.76 : 311,465.62 = 95,266.12 : x
  2. Step 2: Convert to fraction form
    207,726.76/311,465.62 = 95,266.12/x
  3. Step 3: Cross multiply
    207,726.76x = 311,465.62 × 95,266.12
  4. Step 4: Simplify right side
    207,726.76x = 29,672,121,130.79
  5. Step 5: Solve for x
    x = 29,672,121,130.79/207,726.76
  6. Step 6: Final answer
    x = 142,842.07

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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.