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Finding the Fourth Proportional to 111,482.12, 166,937.66 and 61,506.74

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Solution

The fourth proportional to 111,482.12, 166,937.66 and 61,506.74 is: 92,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,482.12 : 166,937.66 = 61,506.74 : x
  2. Step 2: Convert to fraction form
    111,482.12/166,937.66 = 61,506.74/x
  3. Step 3: Cross multiply
    111,482.12x = 166,937.66 × 61,506.74
  4. Step 4: Simplify right side
    111,482.12x = 10,267,791,590.29
  5. Step 5: Solve for x
    x = 10,267,791,590.29/111,482.12
  6. Step 6: Final answer
    x = 92,102.58

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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.