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Finding the Fourth Proportional to 224,414.42, 309,710.39 and 127,648.58

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Solution

The fourth proportional to 224,414.42, 309,710.39 and 127,648.58 is: 176,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,414.42 : 309,710.39 = 127,648.58 : x
  2. Step 2: Convert to fraction form
    224,414.42/309,710.39 = 127,648.58/x
  3. Step 3: Cross multiply
    224,414.42x = 309,710.39 × 127,648.58
  4. Step 4: Simplify right side
    224,414.42x = 39,534,089,307.95
  5. Step 5: Solve for x
    x = 39,534,089,307.95/224,414.42
  6. Step 6: Final answer
    x = 176,165.55

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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.