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Finding the Fourth Proportional to 282,111.66, 423,194.76 and 82,427.49

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Solution

The fourth proportional to 282,111.66, 423,194.76 and 82,427.49 is: 123,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,111.66 : 423,194.76 = 82,427.49 : x
  2. Step 2: Convert to fraction form
    282,111.66/423,194.76 = 82,427.49/x
  3. Step 3: Cross multiply
    282,111.66x = 423,194.76 × 82,427.49
  4. Step 4: Simplify right side
    282,111.66x = 34,882,881,847.95
  5. Step 5: Solve for x
    x = 34,882,881,847.95/282,111.66
  6. Step 6: Final answer
    x = 123,649.20

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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.