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Finding the Fourth Proportional to 153,714.44, 212,224.64 and 96,432.28

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Solution

The fourth proportional to 153,714.44, 212,224.64 and 96,432.28 is: 133,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,714.44 : 212,224.64 = 96,432.28 : x
  2. Step 2: Convert to fraction form
    153,714.44/212,224.64 = 96,432.28/x
  3. Step 3: Cross multiply
    153,714.44x = 212,224.64 × 96,432.28
  4. Step 4: Simplify right side
    153,714.44x = 20,465,305,907.38
  5. Step 5: Solve for x
    x = 20,465,305,907.38/153,714.44
  6. Step 6: Final answer
    x = 133,138.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.