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Finding the Fourth Proportional to 283,047.78, 424,673.73 and 142,700.70

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Solution

The fourth proportional to 283,047.78, 424,673.73 and 142,700.70 is: 214,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,047.78 : 424,673.73 = 142,700.70 : x
  2. Step 2: Convert to fraction form
    283,047.78/424,673.73 = 142,700.70/x
  3. Step 3: Cross multiply
    283,047.78x = 424,673.73 × 142,700.70
  4. Step 4: Simplify right side
    283,047.78x = 60,601,238,542.61
  5. Step 5: Solve for x
    x = 60,601,238,542.61/283,047.78
  6. Step 6: Final answer
    x = 214,102.50

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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.