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Finding the Fourth Proportional to 119,306.92, 164,643.94 and 65,592.84

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Solution

The fourth proportional to 119,306.92, 164,643.94 and 65,592.84 is: 90,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,306.92 : 164,643.94 = 65,592.84 : x
  2. Step 2: Convert to fraction form
    119,306.92/164,643.94 = 65,592.84/x
  3. Step 3: Cross multiply
    119,306.92x = 164,643.94 × 65,592.84
  4. Step 4: Simplify right side
    119,306.92x = 10,799,463,613.39
  5. Step 5: Solve for x
    x = 10,799,463,613.39/119,306.92
  6. Step 6: Final answer
    x = 90,518.33

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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.