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Finding the Fourth Proportional to 285,703.56, 428,556.06 and 86,024.52

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Solution

The fourth proportional to 285,703.56, 428,556.06 and 86,024.52 is: 129,037.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,703.56 : 428,556.06 = 86,024.52 : x
  2. Step 2: Convert to fraction form
    285,703.56/428,556.06 = 86,024.52/x
  3. Step 3: Cross multiply
    285,703.56x = 428,556.06 × 86,024.52
  4. Step 4: Simplify right side
    285,703.56x = 36,866,329,354.59
  5. Step 5: Solve for x
    x = 36,866,329,354.59/285,703.56
  6. Step 6: Final answer
    x = 129,037.00

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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.