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Finding the Fourth Proportional to 242,868, 364,302.24 and 76,656

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Solution

The fourth proportional to 242,868, 364,302.24 and 76,656 is: 114,984.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,868 : 364,302.24 = 76,656 : x
  2. Step 2: Convert to fraction form
    242,868/364,302.24 = 76,656/x
  3. Step 3: Cross multiply
    242,868x = 364,302.24 × 76,656
  4. Step 4: Simplify right side
    242,868x = 27,925,952,509.44
  5. Step 5: Solve for x
    x = 27,925,952,509.44/242,868
  6. Step 6: Final answer
    x = 114,984.08

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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.