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Finding the Fourth Proportional to 121,696.60, 182,572.10 and 42,813.40

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Solution

The fourth proportional to 121,696.60, 182,572.10 and 42,813.40 is: 64,229.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696.60 : 182,572.10 = 42,813.40 : x
  2. Step 2: Convert to fraction form
    121,696.60/182,572.10 = 42,813.40/x
  3. Step 3: Cross multiply
    121,696.60x = 182,572.10 × 42,813.40
  4. Step 4: Simplify right side
    121,696.60x = 7,816,532,346.14
  5. Step 5: Solve for x
    x = 7,816,532,346.14/121,696.60
  6. Step 6: Final answer
    x = 64,229.67

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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.