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Finding the Fourth Proportional to 228,869.64, 315,921.84 and 156,220.53

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Solution

The fourth proportional to 228,869.64, 315,921.84 and 156,220.53 is: 215,640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,869.64 : 315,921.84 = 156,220.53 : x
  2. Step 2: Convert to fraction form
    228,869.64/315,921.84 = 156,220.53/x
  3. Step 3: Cross multiply
    228,869.64x = 315,921.84 × 156,220.53
  4. Step 4: Simplify right side
    228,869.64x = 49,353,477,283.38
  5. Step 5: Solve for x
    x = 49,353,477,283.38/228,869.64
  6. Step 6: Final answer
    x = 215,640.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.