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Finding the Fourth Proportional to 284,078.40, 426,006.84 and 106,488.50

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Solution

The fourth proportional to 284,078.40, 426,006.84 and 106,488.50 is: 159,691.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,078.40 : 426,006.84 = 106,488.50 : x
  2. Step 2: Convert to fraction form
    284,078.40/426,006.84 = 106,488.50/x
  3. Step 3: Cross multiply
    284,078.40x = 426,006.84 × 106,488.50
  4. Step 4: Simplify right side
    284,078.40x = 45,364,829,381.34
  5. Step 5: Solve for x
    x = 45,364,829,381.34/284,078.40
  6. Step 6: Final answer
    x = 159,691.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.