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Finding the Fourth Proportional to 153,681.97, 230,467.50 and 64,942.33

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Solution

The fourth proportional to 153,681.97, 230,467.50 and 64,942.33 is: 97,390.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,681.97 : 230,467.50 = 64,942.33 : x
  2. Step 2: Convert to fraction form
    153,681.97/230,467.50 = 64,942.33/x
  3. Step 3: Cross multiply
    153,681.97x = 230,467.50 × 64,942.33
  4. Step 4: Simplify right side
    153,681.97x = 14,967,096,439.28
  5. Step 5: Solve for x
    x = 14,967,096,439.28/153,681.97
  6. Step 6: Final answer
    x = 97,390.06

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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.