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Finding the Fourth Proportional to 273,337.10, 409,714.05 and 104,792.30

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Solution

The fourth proportional to 273,337.10, 409,714.05 and 104,792.30 is: 157,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,337.10 : 409,714.05 = 104,792.30 : x
  2. Step 2: Convert to fraction form
    273,337.10/409,714.05 = 104,792.30/x
  3. Step 3: Cross multiply
    273,337.10x = 409,714.05 × 104,792.30
  4. Step 4: Simplify right side
    273,337.10x = 42,934,877,641.82
  5. Step 5: Solve for x
    x = 42,934,877,641.82/273,337.10
  6. Step 6: Final answer
    x = 157,076.66

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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.