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Finding the Fourth Proportional to 242,804.70, 364,244.54 and 82,843.14

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Solution

The fourth proportional to 242,804.70, 364,244.54 and 82,843.14 is: 124,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,804.70 : 364,244.54 = 82,843.14 : x
  2. Step 2: Convert to fraction form
    242,804.70/364,244.54 = 82,843.14/x
  3. Step 3: Cross multiply
    242,804.70x = 364,244.54 × 82,843.14
  4. Step 4: Simplify right side
    242,804.70x = 30,175,161,421.46
  5. Step 5: Solve for x
    x = 30,175,161,421.46/242,804.70
  6. Step 6: Final answer
    x = 124,277.50

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1.5x scale

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.