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Finding the Fourth Proportional to 224,569.32, 309,957.78 and 148,102.23

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Solution

The fourth proportional to 224,569.32, 309,957.78 and 148,102.23 is: 204,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,569.32 : 309,957.78 = 148,102.23 : x
  2. Step 2: Convert to fraction form
    224,569.32/309,957.78 = 148,102.23/x
  3. Step 3: Cross multiply
    224,569.32x = 309,957.78 × 148,102.23
  4. Step 4: Simplify right side
    224,569.32x = 45,905,438,423.85
  5. Step 5: Solve for x
    x = 45,905,438,423.85/224,569.32
  6. Step 6: Final answer
    x = 204,415.45

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