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Finding the Fourth Proportional to 121,833.91, 182,467 and 118,470.79

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Solution

The fourth proportional to 121,833.91, 182,467 and 118,470.79 is: 177,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,833.91 : 182,467 = 118,470.79 : x
  2. Step 2: Convert to fraction form
    121,833.91/182,467 = 118,470.79/x
  3. Step 3: Cross multiply
    121,833.91x = 182,467 × 118,470.79
  4. Step 4: Simplify right side
    121,833.91x = 21,617,009,638.93
  5. Step 5: Solve for x
    x = 21,617,009,638.93/121,833.91
  6. Step 6: Final answer
    x = 177,430.16

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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.