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Finding the Fourth Proportional to 256,738.58, 385,199.11 and 114,570.92

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Solution

The fourth proportional to 256,738.58, 385,199.11 and 114,570.92 is: 171,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,738.58 : 385,199.11 = 114,570.92 : x
  2. Step 2: Convert to fraction form
    256,738.58/385,199.11 = 114,570.92/x
  3. Step 3: Cross multiply
    256,738.58x = 385,199.11 × 114,570.92
  4. Step 4: Simplify right side
    256,738.58x = 44,132,617,522.09
  5. Step 5: Solve for x
    x = 44,132,617,522.09/256,738.58
  6. Step 6: Final answer
    x = 171,897.10

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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.