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Finding the Fourth Proportional to 330,142.51, 495,148.14 and 161,590.42

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Solution

The fourth proportional to 330,142.51, 495,148.14 and 161,590.42 is: 242,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,142.51 : 495,148.14 = 161,590.42 : x
  2. Step 2: Convert to fraction form
    330,142.51/495,148.14 = 161,590.42/x
  3. Step 3: Cross multiply
    330,142.51x = 495,148.14 × 161,590.42
  4. Step 4: Simplify right side
    330,142.51x = 80,011,195,904.82
  5. Step 5: Solve for x
    x = 80,011,195,904.82/330,142.51
  6. Step 6: Final answer
    x = 242,353.51

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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.