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Finding the Fourth Proportional to 201,237.70, 301,510.95 and 106,327.30

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Solution

The fourth proportional to 201,237.70, 301,510.95 and 106,327.30 is: 159,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,237.70 : 301,510.95 = 106,327.30 : x
  2. Step 2: Convert to fraction form
    201,237.70/301,510.95 = 106,327.30/x
  3. Step 3: Cross multiply
    201,237.70x = 301,510.95 × 106,327.30
  4. Step 4: Simplify right side
    201,237.70x = 32,058,845,233.94
  5. Step 5: Solve for x
    x = 32,058,845,233.94/201,237.70
  6. Step 6: Final answer
    x = 159,308.35

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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.