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Finding the Fourth Proportional to 229,637.40, 344,456.10 and 104,978.40

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Solution

The fourth proportional to 229,637.40, 344,456.10 and 104,978.40 is: 157,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,637.40 : 344,456.10 = 104,978.40 : x
  2. Step 2: Convert to fraction form
    229,637.40/344,456.10 = 104,978.40/x
  3. Step 3: Cross multiply
    229,637.40x = 344,456.10 × 104,978.40
  4. Step 4: Simplify right side
    229,637.40x = 36,160,450,248.24
  5. Step 5: Solve for x
    x = 36,160,450,248.24/229,637.40
  6. Step 6: Final answer
    x = 157,467.60

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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.