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Finding the Fourth Proportional to 233,511.94, 350,320.31 and 71,420.16

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Solution

The fourth proportional to 233,511.94, 350,320.31 and 71,420.16 is: 107,146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,511.94 : 350,320.31 = 71,420.16 : x
  2. Step 2: Convert to fraction form
    233,511.94/350,320.31 = 71,420.16/x
  3. Step 3: Cross multiply
    233,511.94x = 350,320.31 × 71,420.16
  4. Step 4: Simplify right side
    233,511.94x = 25,019,932,591.45
  5. Step 5: Solve for x
    x = 25,019,932,591.45/233,511.94
  6. Step 6: Final answer
    x = 107,146.27

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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.