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Finding the Fourth Proportional to 109,045.20, 163,567.80 and 56,470.80

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Solution

The fourth proportional to 109,045.20, 163,567.80 and 56,470.80 is: 84,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,045.20 : 163,567.80 = 56,470.80 : x
  2. Step 2: Convert to fraction form
    109,045.20/163,567.80 = 56,470.80/x
  3. Step 3: Cross multiply
    109,045.20x = 163,567.80 × 56,470.80
  4. Step 4: Simplify right side
    109,045.20x = 9,236,804,520.24
  5. Step 5: Solve for x
    x = 9,236,804,520.24/109,045.20
  6. Step 6: Final answer
    x = 84,706.20

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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.