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Finding the Fourth Proportional to 224,948.76, 310,472.46 and 144,477.96

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Solution

The fourth proportional to 224,948.76, 310,472.46 and 144,477.96 is: 199,407.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,948.76 : 310,472.46 = 144,477.96 : x
  2. Step 2: Convert to fraction form
    224,948.76/310,472.46 = 144,477.96/x
  3. Step 3: Cross multiply
    224,948.76x = 310,472.46 × 144,477.96
  4. Step 4: Simplify right side
    224,948.76x = 44,856,427,656.98
  5. Step 5: Solve for x
    x = 44,856,427,656.98/224,948.76
  6. Step 6: Final answer
    x = 199,407.31

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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.