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Finding the Fourth Proportional to 316,969.20, 475,453.80 and 106,585.20

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Solution

The fourth proportional to 316,969.20, 475,453.80 and 106,585.20 is: 159,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,969.20 : 475,453.80 = 106,585.20 : x
  2. Step 2: Convert to fraction form
    316,969.20/475,453.80 = 106,585.20/x
  3. Step 3: Cross multiply
    316,969.20x = 475,453.80 × 106,585.20
  4. Step 4: Simplify right side
    316,969.20x = 50,676,338,363.76
  5. Step 5: Solve for x
    x = 50,676,338,363.76/316,969.20
  6. Step 6: Final answer
    x = 159,877.80

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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.