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Finding the Fourth Proportional to 149,905, 224,870.46 and 39,097

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Solution

The fourth proportional to 149,905, 224,870.46 and 39,097 is: 58,648.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,905 : 224,870.46 = 39,097 : x
  2. Step 2: Convert to fraction form
    149,905/224,870.46 = 39,097/x
  3. Step 3: Cross multiply
    149,905x = 224,870.46 × 39,097
  4. Step 4: Simplify right side
    149,905x = 8,791,760,374.62
  5. Step 5: Solve for x
    x = 8,791,760,374.62/149,905
  6. Step 6: Final answer
    x = 58,648.88

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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.