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Finding the Fourth Proportional to 201,032.20, 301,548.30 and 154,376.20

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Solution

The fourth proportional to 201,032.20, 301,548.30 and 154,376.20 is: 231,564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,032.20 : 301,548.30 = 154,376.20 : x
  2. Step 2: Convert to fraction form
    201,032.20/301,548.30 = 154,376.20/x
  3. Step 3: Cross multiply
    201,032.20x = 301,548.30 × 154,376.20
  4. Step 4: Simplify right side
    201,032.20x = 46,551,880,670.46
  5. Step 5: Solve for x
    x = 46,551,880,670.46/201,032.20
  6. Step 6: Final answer
    x = 231,564.30

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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.