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Finding the Fourth Proportional to 106,925.20, 160,042.20 and 83,424.40

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Solution

The fourth proportional to 106,925.20, 160,042.20 and 83,424.40 is: 124,866.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,925.20 : 160,042.20 = 83,424.40 : x
  2. Step 2: Convert to fraction form
    106,925.20/160,042.20 = 83,424.40/x
  3. Step 3: Cross multiply
    106,925.20x = 160,042.20 × 83,424.40
  4. Step 4: Simplify right side
    106,925.20x = 13,351,424,509.68
  5. Step 5: Solve for x
    x = 13,351,424,509.68/106,925.20
  6. Step 6: Final answer
    x = 124,866.96

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1.5x scale

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.