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Finding the Fourth Proportional to 151,524.80, 209,094.60 and 83,538.06

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Solution

The fourth proportional to 151,524.80, 209,094.60 and 83,538.06 is: 115,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,524.80 : 209,094.60 = 83,538.06 : x
  2. Step 2: Convert to fraction form
    151,524.80/209,094.60 = 83,538.06/x
  3. Step 3: Cross multiply
    151,524.80x = 209,094.60 × 83,538.06
  4. Step 4: Simplify right side
    151,524.80x = 17,467,357,240.48
  5. Step 5: Solve for x
    x = 17,467,357,240.48/151,524.80
  6. Step 6: Final answer
    x = 115,277.22

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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.