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Finding the Fourth Proportional to 283,706.93, 425,566.47 and 84,031.40

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Solution

The fourth proportional to 283,706.93, 425,566.47 and 84,031.40 is: 126,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,706.93 : 425,566.47 = 84,031.40 : x
  2. Step 2: Convert to fraction form
    283,706.93/425,566.47 = 84,031.40/x
  3. Step 3: Cross multiply
    283,706.93x = 425,566.47 × 84,031.40
  4. Step 4: Simplify right side
    283,706.93x = 35,760,946,267.16
  5. Step 5: Solve for x
    x = 35,760,946,267.16/283,706.93
  6. Step 6: Final answer
    x = 126,048.90

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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.