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Finding the Fourth Proportional to 98,150.87, 147,249.79 and 31,597.22

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Solution

The fourth proportional to 98,150.87, 147,249.79 and 31,597.22 is: 47,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,150.87 : 147,249.79 = 31,597.22 : x
  2. Step 2: Convert to fraction form
    98,150.87/147,249.79 = 31,597.22/x
  3. Step 3: Cross multiply
    98,150.87x = 147,249.79 × 31,597.22
  4. Step 4: Simplify right side
    98,150.87x = 4,652,683,194.34
  5. Step 5: Solve for x
    x = 4,652,683,194.34/98,150.87
  6. Step 6: Final answer
    x = 47,403.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.