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Finding the Fourth Proportional to 202,853.97, 304,159.46 and 96,264.45

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Solution

The fourth proportional to 202,853.97, 304,159.46 and 96,264.45 is: 144,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,853.97 : 304,159.46 = 96,264.45 : x
  2. Step 2: Convert to fraction form
    202,853.97/304,159.46 = 96,264.45/x
  3. Step 3: Cross multiply
    202,853.97x = 304,159.46 × 96,264.45
  4. Step 4: Simplify right side
    202,853.97x = 29,279,742,647.87
  5. Step 5: Solve for x
    x = 29,279,742,647.87/202,853.97
  6. Step 6: Final answer
    x = 144,339.02

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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.