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Finding the Fourth Proportional to 145,722.46, 218,613.16 and 61,482.83

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Solution

The fourth proportional to 145,722.46, 218,613.16 and 61,482.83 is: 92,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,722.46 : 218,613.16 = 61,482.83 : x
  2. Step 2: Convert to fraction form
    145,722.46/218,613.16 = 61,482.83/x
  3. Step 3: Cross multiply
    145,722.46x = 218,613.16 × 61,482.83
  4. Step 4: Simplify right side
    145,722.46x = 13,440,955,752.04
  5. Step 5: Solve for x
    x = 13,440,955,752.04/145,722.46
  6. Step 6: Final answer
    x = 92,236.68

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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.