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Finding the Fourth Proportional to 121,500, 182,331 and 46,681.92

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Solution

The fourth proportional to 121,500, 182,331 and 46,681.92 is: 70,054.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,500 : 182,331 = 46,681.92 : x
  2. Step 2: Convert to fraction form
    121,500/182,331 = 46,681.92/x
  3. Step 3: Cross multiply
    121,500x = 182,331 × 46,681.92
  4. Step 4: Simplify right side
    121,500x = 8,511,561,155.52
  5. Step 5: Solve for x
    x = 8,511,561,155.52/121,500
  6. Step 6: Final answer
    x = 70,054.00

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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.