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Finding the Fourth Proportional to 96,653.80, 145,272.30 and 83,823.40

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Solution

The fourth proportional to 96,653.80, 145,272.30 and 83,823.40 is: 125,987.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,653.80 : 145,272.30 = 83,823.40 : x
  2. Step 2: Convert to fraction form
    96,653.80/145,272.30 = 83,823.40/x
  3. Step 3: Cross multiply
    96,653.80x = 145,272.30 × 83,823.40
  4. Step 4: Simplify right side
    96,653.80x = 12,177,218,111.82
  5. Step 5: Solve for x
    x = 12,177,218,111.82/96,653.80
  6. Step 6: Final answer
    x = 125,987.99

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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.