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Finding the Fourth Proportional to 251,297.64, 376,405.16 and 117,978.12

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Solution

The fourth proportional to 251,297.64, 376,405.16 and 117,978.12 is: 176,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,297.64 : 376,405.16 = 117,978.12 : x
  2. Step 2: Convert to fraction form
    251,297.64/376,405.16 = 117,978.12/x
  3. Step 3: Cross multiply
    251,297.64x = 376,405.16 × 117,978.12
  4. Step 4: Simplify right side
    251,297.64x = 44,407,572,545.21
  5. Step 5: Solve for x
    x = 44,407,572,545.21/251,297.64
  6. Step 6: Final answer
    x = 176,713.05

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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.