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Finding the Fourth Proportional to 119,034.64, 164,270.28 and 65,316.52

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Solution

The fourth proportional to 119,034.64, 164,270.28 and 65,316.52 is: 90,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,034.64 : 164,270.28 = 65,316.52 : x
  2. Step 2: Convert to fraction form
    119,034.64/164,270.28 = 65,316.52/x
  3. Step 3: Cross multiply
    119,034.64x = 164,270.28 × 65,316.52
  4. Step 4: Simplify right side
    119,034.64x = 10,729,563,029.03
  5. Step 5: Solve for x
    x = 10,729,563,029.03/119,034.64
  6. Step 6: Final answer
    x = 90,138.16

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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.