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Finding the Fourth Proportional to 275,392.96, 413,006.72 and 97,876.64

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Solution

The fourth proportional to 275,392.96, 413,006.72 and 97,876.64 is: 146,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,392.96 : 413,006.72 = 97,876.64 : x
  2. Step 2: Convert to fraction form
    275,392.96/413,006.72 = 97,876.64/x
  3. Step 3: Cross multiply
    275,392.96x = 413,006.72 × 97,876.64
  4. Step 4: Simplify right side
    275,392.96x = 40,423,710,051.02
  5. Step 5: Solve for x
    x = 40,423,710,051.02/275,392.96
  6. Step 6: Final answer
    x = 146,785.56

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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.