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Finding the Fourth Proportional to 150,590.94, 207,819.99 and 83,521.50

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Solution

The fourth proportional to 150,590.94, 207,819.99 and 83,521.50 is: 115,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,590.94 : 207,819.99 = 83,521.50 : x
  2. Step 2: Convert to fraction form
    150,590.94/207,819.99 = 83,521.50/x
  3. Step 3: Cross multiply
    150,590.94x = 207,819.99 × 83,521.50
  4. Step 4: Simplify right side
    150,590.94x = 17,357,437,294.79
  5. Step 5: Solve for x
    x = 17,357,437,294.79/150,590.94
  6. Step 6: Final answer
    x = 115,262.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.