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Finding the Fourth Proportional to 120,884, 181,332.48 and 37,784.48

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Solution

The fourth proportional to 120,884, 181,332.48 and 37,784.48 is: 56,678.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,884 : 181,332.48 = 37,784.48 : x
  2. Step 2: Convert to fraction form
    120,884/181,332.48 = 37,784.48/x
  3. Step 3: Cross multiply
    120,884x = 181,332.48 × 37,784.48
  4. Step 4: Simplify right side
    120,884x = 6,851,553,463.91
  5. Step 5: Solve for x
    x = 6,851,553,463.91/120,884
  6. Step 6: Final answer
    x = 56,678.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.