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Finding the Fourth Proportional to 121,158.24, 166,838.88 and 87,106.80

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Solution

The fourth proportional to 121,158.24, 166,838.88 and 87,106.80 is: 119,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,158.24 : 166,838.88 = 87,106.80 : x
  2. Step 2: Convert to fraction form
    121,158.24/166,838.88 = 87,106.80/x
  3. Step 3: Cross multiply
    121,158.24x = 166,838.88 × 87,106.80
  4. Step 4: Simplify right side
    121,158.24x = 14,532,800,952.38
  5. Step 5: Solve for x
    x = 14,532,800,952.38/121,158.24
  6. Step 6: Final answer
    x = 119,948.93

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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.