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Finding the Fourth Proportional to 256,950.38, 385,204.08 and 99,289.46

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Solution

The fourth proportional to 256,950.38, 385,204.08 and 99,289.46 is: 148,848.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,950.38 : 385,204.08 = 99,289.46 : x
  2. Step 2: Convert to fraction form
    256,950.38/385,204.08 = 99,289.46/x
  3. Step 3: Cross multiply
    256,950.38x = 385,204.08 × 99,289.46
  4. Step 4: Simplify right side
    256,950.38x = 38,246,705,093.00
  5. Step 5: Solve for x
    x = 38,246,705,093.00/256,950.38
  6. Step 6: Final answer
    x = 148,848.60

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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.