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Finding the Fourth Proportional to 242,594.40, 364,021.20 and 109,495.20

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Solution

The fourth proportional to 242,594.40, 364,021.20 and 109,495.20 is: 164,301.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,594.40 : 364,021.20 = 109,495.20 : x
  2. Step 2: Convert to fraction form
    242,594.40/364,021.20 = 109,495.20/x
  3. Step 3: Cross multiply
    242,594.40x = 364,021.20 × 109,495.20
  4. Step 4: Simplify right side
    242,594.40x = 39,858,574,098.24
  5. Step 5: Solve for x
    x = 39,858,574,098.24/242,594.40
  6. Step 6: Final answer
    x = 164,301.30

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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.