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Finding the Fourth Proportional to 136,667.52, 205,005.60 and 57,784.32

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Solution

The fourth proportional to 136,667.52, 205,005.60 and 57,784.32 is: 86,678.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,667.52 : 205,005.60 = 57,784.32 : x
  2. Step 2: Convert to fraction form
    136,667.52/205,005.60 = 57,784.32/x
  3. Step 3: Cross multiply
    136,667.52x = 205,005.60 × 57,784.32
  4. Step 4: Simplify right side
    136,667.52x = 11,846,109,192.19
  5. Step 5: Solve for x
    x = 11,846,109,192.19/136,667.52
  6. Step 6: Final answer
    x = 86,678.31

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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.