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Finding the Fourth Proportional to 257,037.44, 385,222.08 and 99,109.76

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Solution

The fourth proportional to 257,037.44, 385,222.08 and 99,109.76 is: 148,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,037.44 : 385,222.08 = 99,109.76 : x
  2. Step 2: Convert to fraction form
    257,037.44/385,222.08 = 99,109.76/x
  3. Step 3: Cross multiply
    257,037.44x = 385,222.08 × 99,109.76
  4. Step 4: Simplify right side
    257,037.44x = 38,179,267,895.50
  5. Step 5: Solve for x
    x = 38,179,267,895.50/257,037.44
  6. Step 6: Final answer
    x = 148,535.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.