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Finding the Fourth Proportional to 256,018.11, 353,140.52 and 155,416.11

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Solution

The fourth proportional to 256,018.11, 353,140.52 and 155,416.11 is: 214,374.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,018.11 : 353,140.52 = 155,416.11 : x
  2. Step 2: Convert to fraction form
    256,018.11/353,140.52 = 155,416.11/x
  3. Step 3: Cross multiply
    256,018.11x = 353,140.52 × 155,416.11
  4. Step 4: Simplify right side
    256,018.11x = 54,883,725,901.78
  5. Step 5: Solve for x
    x = 54,883,725,901.78/256,018.11
  6. Step 6: Final answer
    x = 214,374.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.