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Finding the Fourth Proportional to 134,292.52, 201,443.28 and 40,798

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Solution

The fourth proportional to 134,292.52, 201,443.28 and 40,798 is: 61,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,292.52 : 201,443.28 = 40,798 : x
  2. Step 2: Convert to fraction form
    134,292.52/201,443.28 = 40,798/x
  3. Step 3: Cross multiply
    134,292.52x = 201,443.28 × 40,798
  4. Step 4: Simplify right side
    134,292.52x = 8,218,482,937.44
  5. Step 5: Solve for x
    x = 8,218,482,937.44/134,292.52
  6. Step 6: Final answer
    x = 61,198.37

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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.