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Finding the Fourth Proportional to 204,038.90, 306,058.35 and 147,614.30

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Solution

The fourth proportional to 204,038.90, 306,058.35 and 147,614.30 is: 221,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038.90 : 306,058.35 = 147,614.30 : x
  2. Step 2: Convert to fraction form
    204,038.90/306,058.35 = 147,614.30/x
  3. Step 3: Cross multiply
    204,038.90x = 306,058.35 × 147,614.30
  4. Step 4: Simplify right side
    204,038.90x = 45,178,589,094.41
  5. Step 5: Solve for x
    x = 45,178,589,094.41/204,038.90
  6. Step 6: Final answer
    x = 221,421.45

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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.