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Finding the Fourth Proportional to 256,814.46, 385,192.50 and 99,029.70

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Solution

The fourth proportional to 256,814.46, 385,192.50 and 99,029.70 is: 148,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,814.46 : 385,192.50 = 99,029.70 : x
  2. Step 2: Convert to fraction form
    256,814.46/385,192.50 = 99,029.70/x
  3. Step 3: Cross multiply
    256,814.46x = 385,192.50 × 99,029.70
  4. Step 4: Simplify right side
    256,814.46x = 38,145,497,717.25
  5. Step 5: Solve for x
    x = 38,145,497,717.25/256,814.46
  6. Step 6: Final answer
    x = 148,533.29

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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.