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Finding the Fourth Proportional to 283,058.85, 424,238.36 and 142,740.93

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Solution

The fourth proportional to 283,058.85, 424,238.36 and 142,740.93 is: 213,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,058.85 : 424,238.36 = 142,740.93 : x
  2. Step 2: Convert to fraction form
    283,058.85/424,238.36 = 142,740.93/x
  3. Step 3: Cross multiply
    283,058.85x = 424,238.36 × 142,740.93
  4. Step 4: Simplify right side
    283,058.85x = 60,556,177,334.37
  5. Step 5: Solve for x
    x = 60,556,177,334.37/283,058.85
  6. Step 6: Final answer
    x = 213,934.94

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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.