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Finding the Fourth Proportional to 228,895.60, 343,624.20 and 144,655.60

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Solution

The fourth proportional to 228,895.60, 343,624.20 and 144,655.60 is: 217,160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,895.60 : 343,624.20 = 144,655.60 : x
  2. Step 2: Convert to fraction form
    228,895.60/343,624.20 = 144,655.60/x
  3. Step 3: Cross multiply
    228,895.60x = 343,624.20 × 144,655.60
  4. Step 4: Simplify right side
    228,895.60x = 49,707,164,825.52
  5. Step 5: Solve for x
    x = 49,707,164,825.52/228,895.60
  6. Step 6: Final answer
    x = 217,160.86

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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.