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Finding the Fourth Proportional to 242,899.16, 363,860.79 and 120,952.31

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Solution

The fourth proportional to 242,899.16, 363,860.79 and 120,952.31 is: 181,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,899.16 : 363,860.79 = 120,952.31 : x
  2. Step 2: Convert to fraction form
    242,899.16/363,860.79 = 120,952.31/x
  3. Step 3: Cross multiply
    242,899.16x = 363,860.79 × 120,952.31
  4. Step 4: Simplify right side
    242,899.16x = 44,009,803,371.31
  5. Step 5: Solve for x
    x = 44,009,803,371.31/242,899.16
  6. Step 6: Final answer
    x = 181,185.49

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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.