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Finding the Fourth Proportional to 256,297.42, 353,701.18 and 147,401.83

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Solution

The fourth proportional to 256,297.42, 353,701.18 and 147,401.83 is: 203,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,297.42 : 353,701.18 = 147,401.83 : x
  2. Step 2: Convert to fraction form
    256,297.42/353,701.18 = 147,401.83/x
  3. Step 3: Cross multiply
    256,297.42x = 353,701.18 × 147,401.83
  4. Step 4: Simplify right side
    256,297.42x = 52,136,201,278.78
  5. Step 5: Solve for x
    x = 52,136,201,278.78/256,297.42
  6. Step 6: Final answer
    x = 203,420.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.