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Finding the Fourth Proportional to 119,034.95, 164,268.12 and 65,323.34

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Solution

The fourth proportional to 119,034.95, 164,268.12 and 65,323.34 is: 90,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,034.95 : 164,268.12 = 65,323.34 : x
  2. Step 2: Convert to fraction form
    119,034.95/164,268.12 = 65,323.34/x
  3. Step 3: Cross multiply
    119,034.95x = 164,268.12 × 65,323.34
  4. Step 4: Simplify right side
    119,034.95x = 10,730,541,432.58
  5. Step 5: Solve for x
    x = 10,730,541,432.58/119,034.95
  6. Step 6: Final answer
    x = 90,146.15

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1.5x scale

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.