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Finding the Fourth Proportional to 119,596.80, 165,038.94 and 71,876.40

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Solution

The fourth proportional to 119,596.80, 165,038.94 and 71,876.40 is: 99,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,596.80 : 165,038.94 = 71,876.40 : x
  2. Step 2: Convert to fraction form
    119,596.80/165,038.94 = 71,876.40/x
  3. Step 3: Cross multiply
    119,596.80x = 165,038.94 × 71,876.40
  4. Step 4: Simplify right side
    119,596.80x = 11,862,404,867.02
  5. Step 5: Solve for x
    x = 11,862,404,867.02/119,596.80
  6. Step 6: Final answer
    x = 99,186.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.