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Finding the Fourth Proportional to 151,019.92, 208,408.26 and 83,041.26

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Solution

The fourth proportional to 151,019.92, 208,408.26 and 83,041.26 is: 114,597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,019.92 : 208,408.26 = 83,041.26 : x
  2. Step 2: Convert to fraction form
    151,019.92/208,408.26 = 83,041.26/x
  3. Step 3: Cross multiply
    151,019.92x = 208,408.26 × 83,041.26
  4. Step 4: Simplify right side
    151,019.92x = 17,306,484,504.81
  5. Step 5: Solve for x
    x = 17,306,484,504.81/151,019.92
  6. Step 6: Final answer
    x = 114,597.36

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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.