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Finding the Fourth Proportional to 189,141.79, 283,709.16 and 46,987.39

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Solution

The fourth proportional to 189,141.79, 283,709.16 and 46,987.39 is: 70,480.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,141.79 : 283,709.16 = 46,987.39 : x
  2. Step 2: Convert to fraction form
    189,141.79/283,709.16 = 46,987.39/x
  3. Step 3: Cross multiply
    189,141.79x = 283,709.16 × 46,987.39
  4. Step 4: Simplify right side
    189,141.79x = 13,330,752,947.49
  5. Step 5: Solve for x
    x = 13,330,752,947.49/189,141.79
  6. Step 6: Final answer
    x = 70,480.21

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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.