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Finding the Fourth Proportional to 229,403.90, 343,916.33 and 101,228.91

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Solution

The fourth proportional to 229,403.90, 343,916.33 and 101,228.91 is: 151,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,403.90 : 343,916.33 = 101,228.91 : x
  2. Step 2: Convert to fraction form
    229,403.90/343,916.33 = 101,228.91/x
  3. Step 3: Cross multiply
    229,403.90x = 343,916.33 × 101,228.91
  4. Step 4: Simplify right side
    229,403.90x = 34,814,274,710.96
  5. Step 5: Solve for x
    x = 34,814,274,710.96/229,403.90
  6. Step 6: Final answer
    x = 151,759.74

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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.