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Finding the Fourth Proportional to 190,952.52, 286,509.78 and 102,183

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Solution

The fourth proportional to 190,952.52, 286,509.78 and 102,183 is: 153,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,952.52 : 286,509.78 = 102,183 : x
  2. Step 2: Convert to fraction form
    190,952.52/286,509.78 = 102,183/x
  3. Step 3: Cross multiply
    190,952.52x = 286,509.78 × 102,183
  4. Step 4: Simplify right side
    190,952.52x = 29,276,428,849.74
  5. Step 5: Solve for x
    x = 29,276,428,849.74/190,952.52
  6. Step 6: Final answer
    x = 153,317.84

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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.