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Finding the Fourth Proportional to 297,043.16, 445,590.93 and 83,812.96

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Solution

The fourth proportional to 297,043.16, 445,590.93 and 83,812.96 is: 125,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,043.16 : 445,590.93 = 83,812.96 : x
  2. Step 2: Convert to fraction form
    297,043.16/445,590.93 = 83,812.96/x
  3. Step 3: Cross multiply
    297,043.16x = 445,590.93 × 83,812.96
  4. Step 4: Simplify right side
    297,043.16x = 37,346,292,564.50
  5. Step 5: Solve for x
    x = 37,346,292,564.50/297,043.16
  6. Step 6: Final answer
    x = 125,726.82

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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.