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Finding the Fourth Proportional to 120,878.49, 181,317.74 and 37,772.49

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Solution

The fourth proportional to 120,878.49, 181,317.74 and 37,772.49 is: 56,658.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,878.49 : 181,317.74 = 37,772.49 : x
  2. Step 2: Convert to fraction form
    120,878.49/181,317.74 = 37,772.49/x
  3. Step 3: Cross multiply
    120,878.49x = 181,317.74 × 37,772.49
  4. Step 4: Simplify right side
    120,878.49x = 6,848,822,332.11
  5. Step 5: Solve for x
    x = 6,848,822,332.11/120,878.49
  6. Step 6: Final answer
    x = 56,658.74

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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.