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Finding the Fourth Proportional to 233,205.30, 349,289.55 and 202,101.30

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Solution

The fourth proportional to 233,205.30, 349,289.55 and 202,101.30 is: 302,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,205.30 : 349,289.55 = 202,101.30 : x
  2. Step 2: Convert to fraction form
    233,205.30/349,289.55 = 202,101.30/x
  3. Step 3: Cross multiply
    233,205.30x = 349,289.55 × 202,101.30
  4. Step 4: Simplify right side
    233,205.30x = 70,591,872,131.42
  5. Step 5: Solve for x
    x = 70,591,872,131.42/233,205.30
  6. Step 6: Final answer
    x = 302,702.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.