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Finding the Fourth Proportional to 180,086.48, 270,129.84 and 46,966.40

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Solution

The fourth proportional to 180,086.48, 270,129.84 and 46,966.40 is: 70,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,086.48 : 270,129.84 = 46,966.40 : x
  2. Step 2: Convert to fraction form
    180,086.48/270,129.84 = 46,966.40/x
  3. Step 3: Cross multiply
    180,086.48x = 270,129.84 × 46,966.40
  4. Step 4: Simplify right side
    180,086.48x = 12,687,026,117.38
  5. Step 5: Solve for x
    x = 12,687,026,117.38/180,086.48
  6. Step 6: Final answer
    x = 70,449.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.