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Finding the Fourth Proportional to 119,031.64, 164,266.14 and 65,313.52

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Solution

The fourth proportional to 119,031.64, 164,266.14 and 65,313.52 is: 90,134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,031.64 : 164,266.14 = 65,313.52 : x
  2. Step 2: Convert to fraction form
    119,031.64/164,266.14 = 65,313.52/x
  3. Step 3: Cross multiply
    119,031.64x = 164,266.14 × 65,313.52
  4. Step 4: Simplify right side
    119,031.64x = 10,728,799,820.21
  5. Step 5: Solve for x
    x = 10,728,799,820.21/119,031.64
  6. Step 6: Final answer
    x = 90,134.02

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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.