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Finding the Fourth Proportional to 188,973.38, 260,783.63 and 102,932.10

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Solution

The fourth proportional to 188,973.38, 260,783.63 and 102,932.10 is: 142,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,973.38 : 260,783.63 = 102,932.10 : x
  2. Step 2: Convert to fraction form
    188,973.38/260,783.63 = 102,932.10/x
  3. Step 3: Cross multiply
    188,973.38x = 260,783.63 × 102,932.10
  4. Step 4: Simplify right side
    188,973.38x = 26,843,006,681.52
  5. Step 5: Solve for x
    x = 26,843,006,681.52/188,973.38
  6. Step 6: Final answer
    x = 142,046.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.