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Finding the Fourth Proportional to 229,197.50, 343,934.49 and 97,869.50

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Solution

The fourth proportional to 229,197.50, 343,934.49 and 97,869.50 is: 146,863.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,197.50 : 343,934.49 = 97,869.50 : x
  2. Step 2: Convert to fraction form
    229,197.50/343,934.49 = 97,869.50/x
  3. Step 3: Cross multiply
    229,197.50x = 343,934.49 × 97,869.50
  4. Step 4: Simplify right side
    229,197.50x = 33,660,696,569.06
  5. Step 5: Solve for x
    x = 33,660,696,569.06/229,197.50
  6. Step 6: Final answer
    x = 146,863.28

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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.