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Finding the Fourth Proportional to 231,809.40, 347,714.10 and 148,865.40

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Solution

The fourth proportional to 231,809.40, 347,714.10 and 148,865.40 is: 223,298.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,809.40 : 347,714.10 = 148,865.40 : x
  2. Step 2: Convert to fraction form
    231,809.40/347,714.10 = 148,865.40/x
  3. Step 3: Cross multiply
    231,809.40x = 347,714.10 × 148,865.40
  4. Step 4: Simplify right side
    231,809.40x = 51,762,598,582.14
  5. Step 5: Solve for x
    x = 51,762,598,582.14/231,809.40
  6. Step 6: Final answer
    x = 223,298.10

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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.