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Finding the Fourth Proportional to 275,340.90, 413,011.37 and 97,854.92

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Solution

The fourth proportional to 275,340.90, 413,011.37 and 97,854.92 is: 146,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,340.90 : 413,011.37 = 97,854.92 : x
  2. Step 2: Convert to fraction form
    275,340.90/413,011.37 = 97,854.92/x
  3. Step 3: Cross multiply
    275,340.90x = 413,011.37 × 97,854.92
  4. Step 4: Simplify right side
    275,340.90x = 40,415,194,298.81
  5. Step 5: Solve for x
    x = 40,415,194,298.81/275,340.90
  6. Step 6: Final answer
    x = 146,782.38

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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.