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Finding the Fourth Proportional to 141,054, 211,589.64 and 42,558

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Solution

The fourth proportional to 141,054, 211,589.64 and 42,558 is: 63,839.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,054 : 211,589.64 = 42,558 : x
  2. Step 2: Convert to fraction form
    141,054/211,589.64 = 42,558/x
  3. Step 3: Cross multiply
    141,054x = 211,589.64 × 42,558
  4. Step 4: Simplify right side
    141,054x = 9,004,831,899.12
  5. Step 5: Solve for x
    x = 9,004,831,899.12/141,054
  6. Step 6: Final answer
    x = 63,839.61

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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.