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Finding the Fourth Proportional to 284,370.80, 426,228.10 and 106,764.52

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Solution

The fourth proportional to 284,370.80, 426,228.10 and 106,764.52 is: 160,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,370.80 : 426,228.10 = 106,764.52 : x
  2. Step 2: Convert to fraction form
    284,370.80/426,228.10 = 106,764.52/x
  3. Step 3: Cross multiply
    284,370.80x = 426,228.10 × 106,764.52
  4. Step 4: Simplify right side
    284,370.80x = 45,506,038,507.01
  5. Step 5: Solve for x
    x = 45,506,038,507.01/284,370.80
  6. Step 6: Final answer
    x = 160,023.60

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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.