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Finding the Fourth Proportional to 194,552.34, 291,904.65 and 76,203.24

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Solution

The fourth proportional to 194,552.34, 291,904.65 and 76,203.24 is: 114,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,552.34 : 291,904.65 = 76,203.24 : x
  2. Step 2: Convert to fraction form
    194,552.34/291,904.65 = 76,203.24/x
  3. Step 3: Cross multiply
    194,552.34x = 291,904.65 × 76,203.24
  4. Step 4: Simplify right side
    194,552.34x = 22,244,080,101.07
  5. Step 5: Solve for x
    x = 22,244,080,101.07/194,552.34
  6. Step 6: Final answer
    x = 114,334.68

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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.