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Finding the Fourth Proportional to 242,804.70, 364,207.05 and 149,363.10

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Solution

The fourth proportional to 242,804.70, 364,207.05 and 149,363.10 is: 224,044.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,804.70 : 364,207.05 = 149,363.10 : x
  2. Step 2: Convert to fraction form
    242,804.70/364,207.05 = 149,363.10/x
  3. Step 3: Cross multiply
    242,804.70x = 364,207.05 × 149,363.10
  4. Step 4: Simplify right side
    242,804.70x = 54,399,094,029.86
  5. Step 5: Solve for x
    x = 54,399,094,029.86/242,804.70
  6. Step 6: Final answer
    x = 224,044.65

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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.