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Finding the Fourth Proportional to 283,141.32, 390,735.08 and 155,816.92

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Solution

The fourth proportional to 283,141.32, 390,735.08 and 155,816.92 is: 215,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,141.32 : 390,735.08 = 155,816.92 : x
  2. Step 2: Convert to fraction form
    283,141.32/390,735.08 = 155,816.92/x
  3. Step 3: Cross multiply
    283,141.32x = 390,735.08 × 155,816.92
  4. Step 4: Simplify right side
    283,141.32x = 60,883,136,701.55
  5. Step 5: Solve for x
    x = 60,883,136,701.55/283,141.32
  6. Step 6: Final answer
    x = 215,027.38

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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.