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Finding the Fourth Proportional to 121,473.20, 182,123.40 and 46,564.40

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Solution

The fourth proportional to 121,473.20, 182,123.40 and 46,564.40 is: 69,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,473.20 : 182,123.40 = 46,564.40 : x
  2. Step 2: Convert to fraction form
    121,473.20/182,123.40 = 46,564.40/x
  3. Step 3: Cross multiply
    121,473.20x = 182,123.40 × 46,564.40
  4. Step 4: Simplify right side
    121,473.20x = 8,480,466,846.96
  5. Step 5: Solve for x
    x = 8,480,466,846.96/121,473.20
  6. Step 6: Final answer
    x = 69,813.48

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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.