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Finding the Fourth Proportional to 102,184.99, 141,046.57 and 65,886.46

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Solution

The fourth proportional to 102,184.99, 141,046.57 and 65,886.46 is: 90,943.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,184.99 : 141,046.57 = 65,886.46 : x
  2. Step 2: Convert to fraction form
    102,184.99/141,046.57 = 65,886.46/x
  3. Step 3: Cross multiply
    102,184.99x = 141,046.57 × 65,886.46
  4. Step 4: Simplify right side
    102,184.99x = 9,293,059,344.96
  5. Step 5: Solve for x
    x = 9,293,059,344.96/102,184.99
  6. Step 6: Final answer
    x = 90,943.48

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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.