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Finding the Fourth Proportional to 201,132.32, 301,825.74 and 112,444.00

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Solution

The fourth proportional to 201,132.32, 301,825.74 and 112,444.00 is: 168,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,132.32 : 301,825.74 = 112,444.00 : x
  2. Step 2: Convert to fraction form
    201,132.32/301,825.74 = 112,444.00/x
  3. Step 3: Cross multiply
    201,132.32x = 301,825.74 × 112,444.00
  4. Step 4: Simplify right side
    201,132.32x = 33,938,493,175.66
  5. Step 5: Solve for x
    x = 33,938,493,175.66/201,132.32
  6. Step 6: Final answer
    x = 168,737.15

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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.