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Finding the Fourth Proportional to 242,698.74, 364,066.53 and 82,724.95

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Solution

The fourth proportional to 242,698.74, 364,066.53 and 82,724.95 is: 124,093.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,698.74 : 364,066.53 = 82,724.95 : x
  2. Step 2: Convert to fraction form
    242,698.74/364,066.53 = 82,724.95/x
  3. Step 3: Cross multiply
    242,698.74x = 364,066.53 × 82,724.95
  4. Step 4: Simplify right side
    242,698.74x = 30,117,385,490.92
  5. Step 5: Solve for x
    x = 30,117,385,490.92/242,698.74
  6. Step 6: Final answer
    x = 124,093.70

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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.