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Finding the Fourth Proportional to 106,042.88, 146,281.28 and 65,184.80

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Solution

The fourth proportional to 106,042.88, 146,281.28 and 65,184.80 is: 89,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,042.88 : 146,281.28 = 65,184.80 : x
  2. Step 2: Convert to fraction form
    106,042.88/146,281.28 = 65,184.80/x
  3. Step 3: Cross multiply
    106,042.88x = 146,281.28 × 65,184.80
  4. Step 4: Simplify right side
    106,042.88x = 9,535,315,980.54
  5. Step 5: Solve for x
    x = 9,535,315,980.54/106,042.88
  6. Step 6: Final answer
    x = 89,919.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.