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Finding the Fourth Proportional to 149,752.82, 224,628.59 and 38,944.50

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Solution

The fourth proportional to 149,752.82, 224,628.59 and 38,944.50 is: 58,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,752.82 : 224,628.59 = 38,944.50 : x
  2. Step 2: Convert to fraction form
    149,752.82/224,628.59 = 38,944.50/x
  3. Step 3: Cross multiply
    149,752.82x = 224,628.59 × 38,944.50
  4. Step 4: Simplify right side
    149,752.82x = 8,748,048,123.26
  5. Step 5: Solve for x
    x = 8,748,048,123.26/149,752.82
  6. Step 6: Final answer
    x = 58,416.58

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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.