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Finding the Fourth Proportional to 314,711.26, 472,154.49 and 137,233.90

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Solution

The fourth proportional to 314,711.26, 472,154.49 and 137,233.90 is: 205,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,711.26 : 472,154.49 = 137,233.90 : x
  2. Step 2: Convert to fraction form
    314,711.26/472,154.49 = 137,233.90/x
  3. Step 3: Cross multiply
    314,711.26x = 472,154.49 × 137,233.90
  4. Step 4: Simplify right side
    314,711.26x = 64,795,602,065.21
  5. Step 5: Solve for x
    x = 64,795,602,065.21/314,711.26
  6. Step 6: Final answer
    x = 205,889.05

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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.