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Finding the Fourth Proportional to 149,053.84, 223,580.52 and 38,245.84

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Solution

The fourth proportional to 149,053.84, 223,580.52 and 38,245.84 is: 57,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,053.84 : 223,580.52 = 38,245.84 : x
  2. Step 2: Convert to fraction form
    149,053.84/223,580.52 = 38,245.84/x
  3. Step 3: Cross multiply
    149,053.84x = 223,580.52 × 38,245.84
  4. Step 4: Simplify right side
    149,053.84x = 8,551,024,795.04
  5. Step 5: Solve for x
    x = 8,551,024,795.04/149,053.84
  6. Step 6: Final answer
    x = 57,368.70

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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.