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Finding the Fourth Proportional to 229,191.50, 343,925.50 and 97,863.50

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Solution

The fourth proportional to 229,191.50, 343,925.50 and 97,863.50 is: 146,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,191.50 : 343,925.50 = 97,863.50 : x
  2. Step 2: Convert to fraction form
    229,191.50/343,925.50 = 97,863.50/x
  3. Step 3: Cross multiply
    229,191.50x = 343,925.50 × 97,863.50
  4. Step 4: Simplify right side
    229,191.50x = 33,657,753,169.25
  5. Step 5: Solve for x
    x = 33,657,753,169.25/229,191.50
  6. Step 6: Final answer
    x = 146,854.28

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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.