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Finding the Fourth Proportional to 181,374, 272,076.68 and 50,046

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Solution

The fourth proportional to 181,374, 272,076.68 and 50,046 is: 75,073.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,374 : 272,076.68 = 50,046 : x
  2. Step 2: Convert to fraction form
    181,374/272,076.68 = 50,046/x
  3. Step 3: Cross multiply
    181,374x = 272,076.68 × 50,046
  4. Step 4: Simplify right side
    181,374x = 13,616,349,527.28
  5. Step 5: Solve for x
    x = 13,616,349,527.28/181,374
  6. Step 6: Final answer
    x = 75,073.33

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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.