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Finding the Fourth Proportional to 282,176.91, 423,264.20 and 102,220.20

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Solution

The fourth proportional to 282,176.91, 423,264.20 and 102,220.20 is: 153,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,176.91 : 423,264.20 = 102,220.20 : x
  2. Step 2: Convert to fraction form
    282,176.91/423,264.20 = 102,220.20/x
  3. Step 3: Cross multiply
    282,176.91x = 423,264.20 × 102,220.20
  4. Step 4: Simplify right side
    282,176.91x = 43,266,150,665.74
  5. Step 5: Solve for x
    x = 43,266,150,665.74/282,176.91
  6. Step 6: Final answer
    x = 153,329.88

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1.5x scale

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.