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Finding the Fourth Proportional to 219,432.30, 329,148.45 and 202,152.30

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Solution

The fourth proportional to 219,432.30, 329,148.45 and 202,152.30 is: 303,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,432.30 : 329,148.45 = 202,152.30 : x
  2. Step 2: Convert to fraction form
    219,432.30/329,148.45 = 202,152.30/x
  3. Step 3: Cross multiply
    219,432.30x = 329,148.45 × 202,152.30
  4. Step 4: Simplify right side
    219,432.30x = 66,538,116,208.94
  5. Step 5: Solve for x
    x = 66,538,116,208.94/219,432.30
  6. Step 6: Final answer
    x = 303,228.45

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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.