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Finding the Fourth Proportional to 201,848.20, 302,772.30 and 188,726.20

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Solution

The fourth proportional to 201,848.20, 302,772.30 and 188,726.20 is: 283,089.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,848.20 : 302,772.30 = 188,726.20 : x
  2. Step 2: Convert to fraction form
    201,848.20/302,772.30 = 188,726.20/x
  3. Step 3: Cross multiply
    201,848.20x = 302,772.30 × 188,726.20
  4. Step 4: Simplify right side
    201,848.20x = 57,141,065,644.26
  5. Step 5: Solve for x
    x = 57,141,065,644.26/201,848.20
  6. Step 6: Final answer
    x = 283,089.30

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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.