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Finding the Fourth Proportional to 283,207.17, 424,686.12 and 150,056.74

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Solution

The fourth proportional to 283,207.17, 424,686.12 and 150,056.74 is: 225,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,207.17 : 424,686.12 = 150,056.74 : x
  2. Step 2: Convert to fraction form
    283,207.17/424,686.12 = 150,056.74/x
  3. Step 3: Cross multiply
    283,207.17x = 424,686.12 × 150,056.74
  4. Step 4: Simplify right side
    283,207.17x = 63,727,014,690.45
  5. Step 5: Solve for x
    x = 63,727,014,690.45/283,207.17
  6. Step 6: Final answer
    x = 225,019.07

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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.