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Finding the Fourth Proportional to 189,935.67, 285,000.71 and 77,698.83

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Solution

The fourth proportional to 189,935.67, 285,000.71 and 77,698.83 is: 116,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,935.67 : 285,000.71 = 77,698.83 : x
  2. Step 2: Convert to fraction form
    189,935.67/285,000.71 = 77,698.83/x
  3. Step 3: Cross multiply
    189,935.67x = 285,000.71 × 77,698.83
  4. Step 4: Simplify right side
    189,935.67x = 22,144,221,327.68
  5. Step 5: Solve for x
    x = 22,144,221,327.68/189,935.67
  6. Step 6: Final answer
    x = 116,588.01

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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.