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Finding the Fourth Proportional to 119,701.54, 165,189.29 and 65,988.50

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Solution

The fourth proportional to 119,701.54, 165,189.29 and 65,988.50 is: 91,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,701.54 : 165,189.29 = 65,988.50 : x
  2. Step 2: Convert to fraction form
    119,701.54/165,189.29 = 65,988.50/x
  3. Step 3: Cross multiply
    119,701.54x = 165,189.29 × 65,988.50
  4. Step 4: Simplify right side
    119,701.54x = 10,900,592,307.28
  5. Step 5: Solve for x
    x = 10,900,592,307.28/119,701.54
  6. Step 6: Final answer
    x = 91,064.76

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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.