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Finding the Fourth Proportional to 284,139.76, 426,293.88 and 94,624.60

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Solution

The fourth proportional to 284,139.76, 426,293.88 and 94,624.60 is: 141,964.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,139.76 : 426,293.88 = 94,624.60 : x
  2. Step 2: Convert to fraction form
    284,139.76/426,293.88 = 94,624.60/x
  3. Step 3: Cross multiply
    284,139.76x = 426,293.88 × 94,624.60
  4. Step 4: Simplify right side
    284,139.76x = 40,337,887,877.45
  5. Step 5: Solve for x
    x = 40,337,887,877.45/284,139.76
  6. Step 6: Final answer
    x = 141,964.95

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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.