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Finding the Fourth Proportional to 141,734, 212,610.72 and 46,964

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Solution

The fourth proportional to 141,734, 212,610.72 and 46,964 is: 70,449.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,734 : 212,610.72 = 46,964 : x
  2. Step 2: Convert to fraction form
    141,734/212,610.72 = 46,964/x
  3. Step 3: Cross multiply
    141,734x = 212,610.72 × 46,964
  4. Step 4: Simplify right side
    141,734x = 9,985,049,854.08
  5. Step 5: Solve for x
    x = 9,985,049,854.08/141,734
  6. Step 6: Final answer
    x = 70,449.22

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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.