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Finding the Fourth Proportional to 141,494, 212,242.44 and 42,998

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Solution

The fourth proportional to 141,494, 212,242.44 and 42,998 is: 64,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,494 : 212,242.44 = 42,998 : x
  2. Step 2: Convert to fraction form
    141,494/212,242.44 = 42,998/x
  3. Step 3: Cross multiply
    141,494x = 212,242.44 × 42,998
  4. Step 4: Simplify right side
    141,494x = 9,126,000,435.12
  5. Step 5: Solve for x
    x = 9,126,000,435.12/141,494
  6. Step 6: Final answer
    x = 64,497.44

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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.