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Finding the Fourth Proportional to 119,560.96, 164,988.36 and 65,848.24

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Solution

The fourth proportional to 119,560.96, 164,988.36 and 65,848.24 is: 90,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,560.96 : 164,988.36 = 65,848.24 : x
  2. Step 2: Convert to fraction form
    119,560.96/164,988.36 = 65,848.24/x
  3. Step 3: Cross multiply
    119,560.96x = 164,988.36 × 65,848.24
  4. Step 4: Simplify right side
    119,560.96x = 10,864,193,126.49
  5. Step 5: Solve for x
    x = 10,864,193,126.49/119,560.96
  6. Step 6: Final answer
    x = 90,867.40

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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.