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Finding the Fourth Proportional to 233,238.92, 349,772.70 and 83,438.60

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Solution

The fourth proportional to 233,238.92, 349,772.70 and 83,438.60 is: 125,127.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,238.92 : 349,772.70 = 83,438.60 : x
  2. Step 2: Convert to fraction form
    233,238.92/349,772.70 = 83,438.60/x
  3. Step 3: Cross multiply
    233,238.92x = 349,772.70 × 83,438.60
  4. Step 4: Simplify right side
    233,238.92x = 29,184,544,406.22
  5. Step 5: Solve for x
    x = 29,184,544,406.22/233,238.92
  6. Step 6: Final answer
    x = 125,127.25

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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.