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Finding the Fourth Proportional to 121,470.80, 182,209.08 and 46,628.24

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Solution

The fourth proportional to 121,470.80, 182,209.08 and 46,628.24 is: 69,943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,470.80 : 182,209.08 = 46,628.24 : x
  2. Step 2: Convert to fraction form
    121,470.80/182,209.08 = 46,628.24/x
  3. Step 3: Cross multiply
    121,470.80x = 182,209.08 × 46,628.24
  4. Step 4: Simplify right side
    121,470.80x = 8,496,088,712.42
  5. Step 5: Solve for x
    x = 8,496,088,712.42/121,470.80
  6. Step 6: Final answer
    x = 69,943.47

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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.