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Finding the Fourth Proportional to 159,274.38, 238,946.16 and 48,463.50

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Solution

The fourth proportional to 159,274.38, 238,946.16 and 48,463.50 is: 72,705.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,274.38 : 238,946.16 = 48,463.50 : x
  2. Step 2: Convert to fraction form
    159,274.38/238,946.16 = 48,463.50/x
  3. Step 3: Cross multiply
    159,274.38x = 238,946.16 × 48,463.50
  4. Step 4: Simplify right side
    159,274.38x = 11,580,167,225.16
  5. Step 5: Solve for x
    x = 11,580,167,225.16/159,274.38
  6. Step 6: Final answer
    x = 72,705.77

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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.