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Finding the Fourth Proportional to 153,874.40, 230,998.80 and 97,714.40

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Solution

The fourth proportional to 153,874.40, 230,998.80 and 97,714.40 is: 146,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,874.40 : 230,998.80 = 97,714.40 : x
  2. Step 2: Convert to fraction form
    153,874.40/230,998.80 = 97,714.40/x
  3. Step 3: Cross multiply
    153,874.40x = 230,998.80 × 97,714.40
  4. Step 4: Simplify right side
    153,874.40x = 22,571,909,142.72
  5. Step 5: Solve for x
    x = 22,571,909,142.72/153,874.40
  6. Step 6: Final answer
    x = 146,690.48

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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.