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Finding the Fourth Proportional to 316,909.20, 475,363.80 and 130,054.80

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Solution

The fourth proportional to 316,909.20, 475,363.80 and 130,054.80 is: 195,082.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,909.20 : 475,363.80 = 130,054.80 : x
  2. Step 2: Convert to fraction form
    316,909.20/475,363.80 = 130,054.80/x
  3. Step 3: Cross multiply
    316,909.20x = 475,363.80 × 130,054.80
  4. Step 4: Simplify right side
    316,909.20x = 61,823,343,936.24
  5. Step 5: Solve for x
    x = 61,823,343,936.24/316,909.20
  6. Step 6: Final answer
    x = 195,082.20

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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.