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Finding the Fourth Proportional to 275,865.76, 413,746.82 and 86,297.74

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Solution

The fourth proportional to 275,865.76, 413,746.82 and 86,297.74 is: 129,430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,865.76 : 413,746.82 = 86,297.74 : x
  2. Step 2: Convert to fraction form
    275,865.76/413,746.82 = 86,297.74/x
  3. Step 3: Cross multiply
    275,865.76x = 413,746.82 × 86,297.74
  4. Step 4: Simplify right side
    275,865.76x = 35,705,415,498.19
  5. Step 5: Solve for x
    x = 35,705,415,498.19/275,865.76
  6. Step 6: Final answer
    x = 129,430.40

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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.