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Finding the Fourth Proportional to 256,816.46, 385,195.50 and 99,031.70

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Solution

The fourth proportional to 256,816.46, 385,195.50 and 99,031.70 is: 148,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,816.46 : 385,195.50 = 99,031.70 : x
  2. Step 2: Convert to fraction form
    256,816.46/385,195.50 = 99,031.70/x
  3. Step 3: Cross multiply
    256,816.46x = 385,195.50 × 99,031.70
  4. Step 4: Simplify right side
    256,816.46x = 38,146,565,197.35
  5. Step 5: Solve for x
    x = 38,146,565,197.35/256,816.46
  6. Step 6: Final answer
    x = 148,536.29

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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.