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Finding the Fourth Proportional to 180,013.77, 270,019.68 and 73,397.31

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Solution

The fourth proportional to 180,013.77, 270,019.68 and 73,397.31 is: 110,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,013.77 : 270,019.68 = 73,397.31 : x
  2. Step 2: Convert to fraction form
    180,013.77/270,019.68 = 73,397.31/x
  3. Step 3: Cross multiply
    180,013.77x = 270,019.68 × 73,397.31
  4. Step 4: Simplify right side
    180,013.77x = 19,818,718,010.39
  5. Step 5: Solve for x
    x = 19,818,718,010.39/180,013.77
  6. Step 6: Final answer
    x = 110,095.57

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1.5x scale

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.