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Finding the Fourth Proportional to 229,859.30, 344,983.35 and 103,693.70

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Solution

The fourth proportional to 229,859.30, 344,983.35 and 103,693.70 is: 155,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,859.30 : 344,983.35 = 103,693.70 : x
  2. Step 2: Convert to fraction form
    229,859.30/344,983.35 = 103,693.70/x
  3. Step 3: Cross multiply
    229,859.30x = 344,983.35 × 103,693.70
  4. Step 4: Simplify right side
    229,859.30x = 35,772,599,999.90
  5. Step 5: Solve for x
    x = 35,772,599,999.90/229,859.30
  6. Step 6: Final answer
    x = 155,628.25

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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.