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Finding the Fourth Proportional to 242,699.32, 364,066.26 and 76,483

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Solution

The fourth proportional to 242,699.32, 364,066.26 and 76,483 is: 114,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,699.32 : 364,066.26 = 76,483 : x
  2. Step 2: Convert to fraction form
    242,699.32/364,066.26 = 76,483/x
  3. Step 3: Cross multiply
    242,699.32x = 364,066.26 × 76,483
  4. Step 4: Simplify right side
    242,699.32x = 27,844,879,763.58
  5. Step 5: Solve for x
    x = 27,844,879,763.58/242,699.32
  6. Step 6: Final answer
    x = 114,729.95

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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.