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Finding the Fourth Proportional to 242,329, 363,552.36 and 76,117

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Solution

The fourth proportional to 242,329, 363,552.36 and 76,117 is: 114,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,329 : 363,552.36 = 76,117 : x
  2. Step 2: Convert to fraction form
    242,329/363,552.36 = 76,117/x
  3. Step 3: Cross multiply
    242,329x = 363,552.36 × 76,117
  4. Step 4: Simplify right side
    242,329x = 27,672,514,986.12
  5. Step 5: Solve for x
    x = 27,672,514,986.12/242,329
  6. Step 6: Final answer
    x = 114,193.99

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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.