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Finding the Fourth Proportional to 141,403.68, 212,134.68 and 47,907

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Solution

The fourth proportional to 141,403.68, 212,134.68 and 47,907 is: 71,870.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,403.68 : 212,134.68 = 47,907 : x
  2. Step 2: Convert to fraction form
    141,403.68/212,134.68 = 47,907/x
  3. Step 3: Cross multiply
    141,403.68x = 212,134.68 × 47,907
  4. Step 4: Simplify right side
    141,403.68x = 10,162,736,114.76
  5. Step 5: Solve for x
    x = 10,162,736,114.76/141,403.68
  6. Step 6: Final answer
    x = 71,870.38

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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.