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Finding the Fourth Proportional to 283,254.72, 424,783.08 and 83,522.08

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Solution

The fourth proportional to 283,254.72, 424,783.08 and 83,522.08 is: 125,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,254.72 : 424,783.08 = 83,522.08 : x
  2. Step 2: Convert to fraction form
    283,254.72/424,783.08 = 83,522.08/x
  3. Step 3: Cross multiply
    283,254.72x = 424,783.08 × 83,522.08
  4. Step 4: Simplify right side
    283,254.72x = 35,478,766,390.41
  5. Step 5: Solve for x
    x = 35,478,766,390.41/283,254.72
  6. Step 6: Final answer
    x = 125,253.93

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1.5x scale

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.