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Finding the Fourth Proportional to 229,258.20, 343,921.86 and 71,499

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Solution

The fourth proportional to 229,258.20, 343,921.86 and 71,499 is: 107,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,258.20 : 343,921.86 = 71,499 : x
  2. Step 2: Convert to fraction form
    229,258.20/343,921.86 = 71,499/x
  3. Step 3: Cross multiply
    229,258.20x = 343,921.86 × 71,499
  4. Step 4: Simplify right side
    229,258.20x = 24,590,069,068.14
  5. Step 5: Solve for x
    x = 24,590,069,068.14/229,258.20
  6. Step 6: Final answer
    x = 107,259.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.