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Finding the Fourth Proportional to 150,678.91, 226,052.88 and 65,304.10

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Solution

The fourth proportional to 150,678.91, 226,052.88 and 65,304.10 is: 97,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678.91 : 226,052.88 = 65,304.10 : x
  2. Step 2: Convert to fraction form
    150,678.91/226,052.88 = 65,304.10/x
  3. Step 3: Cross multiply
    150,678.91x = 226,052.88 × 65,304.10
  4. Step 4: Simplify right side
    150,678.91x = 14,762,179,880.81
  5. Step 5: Solve for x
    x = 14,762,179,880.81/150,678.91
  6. Step 6: Final answer
    x = 97,971.11

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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.