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Finding the Fourth Proportional to 234,611.46, 351,966.41 and 101,510.64

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Solution

The fourth proportional to 234,611.46, 351,966.41 and 101,510.64 is: 152,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,611.46 : 351,966.41 = 101,510.64 : x
  2. Step 2: Convert to fraction form
    234,611.46/351,966.41 = 101,510.64/x
  3. Step 3: Cross multiply
    234,611.46x = 351,966.41 × 101,510.64
  4. Step 4: Simplify right side
    234,611.46x = 35,728,335,030.05
  5. Step 5: Solve for x
    x = 35,728,335,030.05/234,611.46
  6. Step 6: Final answer
    x = 152,287.25

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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.