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Finding the Fourth Proportional to 150,843.06, 208,103.89 and 97,159.19

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Solution

The fourth proportional to 150,843.06, 208,103.89 and 97,159.19 is: 134,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,843.06 : 208,103.89 = 97,159.19 : x
  2. Step 2: Convert to fraction form
    150,843.06/208,103.89 = 97,159.19/x
  3. Step 3: Cross multiply
    150,843.06x = 208,103.89 × 97,159.19
  4. Step 4: Simplify right side
    150,843.06x = 20,219,205,388.25
  5. Step 5: Solve for x
    x = 20,219,205,388.25/150,843.06
  6. Step 6: Final answer
    x = 134,041.34

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1.5x scale

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.