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Finding the Fourth Proportional to 233,133.20, 349,614.12 and 83,333.06

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Solution

The fourth proportional to 233,133.20, 349,614.12 and 83,333.06 is: 124,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,133.20 : 349,614.12 = 83,333.06 : x
  2. Step 2: Convert to fraction form
    233,133.20/349,614.12 = 83,333.06/x
  3. Step 3: Cross multiply
    233,133.20x = 349,614.12 × 83,333.06
  4. Step 4: Simplify right side
    233,133.20x = 29,134,414,438.81
  5. Step 5: Solve for x
    x = 29,134,414,438.81/233,133.20
  6. Step 6: Final answer
    x = 124,968.96

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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.