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Finding the Fourth Proportional to 201,192.98, 301,836.20 and 59,032.53

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Solution

The fourth proportional to 201,192.98, 301,836.20 and 59,032.53 is: 88,562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,192.98 : 301,836.20 = 59,032.53 : x
  2. Step 2: Convert to fraction form
    201,192.98/301,836.20 = 59,032.53/x
  3. Step 3: Cross multiply
    201,192.98x = 301,836.20 × 59,032.53
  4. Step 4: Simplify right side
    201,192.98x = 17,818,154,236.42
  5. Step 5: Solve for x
    x = 17,818,154,236.42/201,192.98
  6. Step 6: Final answer
    x = 88,562.51

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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.