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Finding the Fourth Proportional to 242,671.93, 364,026.32 and 82,698.14

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Solution

The fourth proportional to 242,671.93, 364,026.32 and 82,698.14 is: 124,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,671.93 : 364,026.32 = 82,698.14 : x
  2. Step 2: Convert to fraction form
    242,671.93/364,026.32 = 82,698.14/x
  3. Step 3: Cross multiply
    242,671.93x = 364,026.32 × 82,698.14
  4. Step 4: Simplify right side
    242,671.93x = 30,104,299,161.55
  5. Step 5: Solve for x
    x = 30,104,299,161.55/242,671.93
  6. Step 6: Final answer
    x = 124,053.49

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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.