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Finding the Fourth Proportional to 233,906.50, 350,569.06 and 107,412.55

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Solution

The fourth proportional to 233,906.50, 350,569.06 and 107,412.55 is: 160,985.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,906.50 : 350,569.06 = 107,412.55 : x
  2. Step 2: Convert to fraction form
    233,906.50/350,569.06 = 107,412.55/x
  3. Step 3: Cross multiply
    233,906.50x = 350,569.06 × 107,412.55
  4. Step 4: Simplify right side
    233,906.50x = 37,655,516,144.94
  5. Step 5: Solve for x
    x = 37,655,516,144.94/233,906.50
  6. Step 6: Final answer
    x = 160,985.33

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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.