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Finding the Fourth Proportional to 242,818.74, 364,087.17 and 74,290.95

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Solution

The fourth proportional to 242,818.74, 364,087.17 and 74,290.95 is: 111,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,818.74 : 364,087.17 = 74,290.95 : x
  2. Step 2: Convert to fraction form
    242,818.74/364,087.17 = 74,290.95/x
  3. Step 3: Cross multiply
    242,818.74x = 364,087.17 × 74,290.95
  4. Step 4: Simplify right side
    242,818.74x = 27,048,381,742.11
  5. Step 5: Solve for x
    x = 27,048,381,742.11/242,818.74
  6. Step 6: Final answer
    x = 111,393.30

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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.