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Finding the Fourth Proportional to 242,255.90, 363,398.43 and 102,025.46

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Solution

The fourth proportional to 242,255.90, 363,398.43 and 102,025.46 is: 153,044.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,255.90 : 363,398.43 = 102,025.46 : x
  2. Step 2: Convert to fraction form
    242,255.90/363,398.43 = 102,025.46/x
  3. Step 3: Cross multiply
    242,255.90x = 363,398.43 × 102,025.46
  4. Step 4: Simplify right side
    242,255.90x = 37,075,890,167.04
  5. Step 5: Solve for x
    x = 37,075,890,167.04/242,255.90
  6. Step 6: Final answer
    x = 153,044.33

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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.