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Finding the Fourth Proportional to 151,564.68, 209,171.72 and 83,594.95

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Solution

The fourth proportional to 151,564.68, 209,171.72 and 83,594.95 is: 115,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,564.68 : 209,171.72 = 83,594.95 : x
  2. Step 2: Convert to fraction form
    151,564.68/209,171.72 = 83,594.95/x
  3. Step 3: Cross multiply
    151,564.68x = 209,171.72 × 83,594.95
  4. Step 4: Simplify right side
    151,564.68x = 17,485,698,533.91
  5. Step 5: Solve for x
    x = 17,485,698,533.91/151,564.68
  6. Step 6: Final answer
    x = 115,367.90

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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.