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Finding the Fourth Proportional to 316,232.80, 474,356.12 and 126,782.39

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Solution

The fourth proportional to 316,232.80, 474,356.12 and 126,782.39 is: 190,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,232.80 : 474,356.12 = 126,782.39 : x
  2. Step 2: Convert to fraction form
    316,232.80/474,356.12 = 126,782.39/x
  3. Step 3: Cross multiply
    316,232.80x = 474,356.12 × 126,782.39
  4. Step 4: Simplify right side
    316,232.80x = 60,140,003,156.71
  5. Step 5: Solve for x
    x = 60,140,003,156.71/316,232.80
  6. Step 6: Final answer
    x = 190,176.36

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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.