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Finding the Fourth Proportional to 316,952.34, 475,454.43 and 129,965.46

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Solution

The fourth proportional to 316,952.34, 475,454.43 and 129,965.46 is: 194,958.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,952.34 : 475,454.43 = 129,965.46 : x
  2. Step 2: Convert to fraction form
    316,952.34/475,454.43 = 129,965.46/x
  3. Step 3: Cross multiply
    316,952.34x = 475,454.43 × 129,965.46
  4. Step 4: Simplify right side
    316,952.34x = 61,792,653,703.99
  5. Step 5: Solve for x
    x = 61,792,653,703.99/316,952.34
  6. Step 6: Final answer
    x = 194,958.82

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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.