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Finding the Fourth Proportional to 242,828.80, 364,097.40 and 124,730.80

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Solution

The fourth proportional to 242,828.80, 364,097.40 and 124,730.80 is: 187,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,828.80 : 364,097.40 = 124,730.80 : x
  2. Step 2: Convert to fraction form
    242,828.80/364,097.40 = 124,730.80/x
  3. Step 3: Cross multiply
    242,828.80x = 364,097.40 × 124,730.80
  4. Step 4: Simplify right side
    242,828.80x = 45,414,159,979.92
  5. Step 5: Solve for x
    x = 45,414,159,979.92/242,828.80
  6. Step 6: Final answer
    x = 187,021.31

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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.