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Finding the Fourth Proportional to 537,786, 806,729.76 and 158,708.16

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Solution

The fourth proportional to 537,786, 806,729.76 and 158,708.16 is: 238,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,786 : 806,729.76 = 158,708.16 : x
  2. Step 2: Convert to fraction form
    537,786/806,729.76 = 158,708.16/x
  3. Step 3: Cross multiply
    537,786x = 806,729.76 × 158,708.16
  4. Step 4: Simplify right side
    537,786x = 128,034,595,826.84
  5. Step 5: Solve for x
    x = 128,034,595,826.84/537,786
  6. Step 6: Final answer
    x = 238,077.22

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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.