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Finding the Fourth Proportional to 151,005.59, 208,388.13 and 83,029.52

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Solution

The fourth proportional to 151,005.59, 208,388.13 and 83,029.52 is: 114,580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,005.59 : 208,388.13 = 83,029.52 : x
  2. Step 2: Convert to fraction form
    151,005.59/208,388.13 = 83,029.52/x
  3. Step 3: Cross multiply
    151,005.59x = 208,388.13 × 83,029.52
  4. Step 4: Simplify right side
    151,005.59x = 17,302,366,407.60
  5. Step 5: Solve for x
    x = 17,302,366,407.60/151,005.59
  6. Step 6: Final answer
    x = 114,580.97

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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.