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Finding the Fourth Proportional to 106,197.40, 146,488.98 and 67,965.40

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Solution

The fourth proportional to 106,197.40, 146,488.98 and 67,965.40 is: 93,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,197.40 : 146,488.98 = 67,965.40 : x
  2. Step 2: Convert to fraction form
    106,197.40/146,488.98 = 67,965.40/x
  3. Step 3: Cross multiply
    106,197.40x = 146,488.98 × 67,965.40
  4. Step 4: Simplify right side
    106,197.40x = 9,956,182,121.29
  5. Step 5: Solve for x
    x = 9,956,182,121.29/106,197.40
  6. Step 6: Final answer
    x = 93,751.66

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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.