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Finding the Fourth Proportional to 242,562.90, 363,844.35 and 109,506.90

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Solution

The fourth proportional to 242,562.90, 363,844.35 and 109,506.90 is: 164,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,562.90 : 363,844.35 = 109,506.90 : x
  2. Step 2: Convert to fraction form
    242,562.90/363,844.35 = 109,506.90/x
  3. Step 3: Cross multiply
    242,562.90x = 363,844.35 × 109,506.90
  4. Step 4: Simplify right side
    242,562.90x = 39,843,466,851.02
  5. Step 5: Solve for x
    x = 39,843,466,851.02/242,562.90
  6. Step 6: Final answer
    x = 164,260.35

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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.