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Finding the Fourth Proportional to 114,211.20, 171,316.80 and 61,723.20

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Solution

The fourth proportional to 114,211.20, 171,316.80 and 61,723.20 is: 92,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,211.20 : 171,316.80 = 61,723.20 : x
  2. Step 2: Convert to fraction form
    114,211.20/171,316.80 = 61,723.20/x
  3. Step 3: Cross multiply
    114,211.20x = 171,316.80 × 61,723.20
  4. Step 4: Simplify right side
    114,211.20x = 10,574,221,109.76
  5. Step 5: Solve for x
    x = 10,574,221,109.76/114,211.20
  6. Step 6: Final answer
    x = 92,584.80

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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.