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Finding the Fourth Proportional to 242,568.64, 363,891.80 and 102,347.92

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Solution

The fourth proportional to 242,568.64, 363,891.80 and 102,347.92 is: 153,538.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,568.64 : 363,891.80 = 102,347.92 : x
  2. Step 2: Convert to fraction form
    242,568.64/363,891.80 = 102,347.92/x
  3. Step 3: Cross multiply
    242,568.64x = 363,891.80 × 102,347.92
  4. Step 4: Simplify right side
    242,568.64x = 37,243,568,835.06
  5. Step 5: Solve for x
    x = 37,243,568,835.06/242,568.64
  6. Step 6: Final answer
    x = 153,538.27

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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.