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Finding the Fourth Proportional to 262,175.28, 361,747.57 and 153,258.47

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Solution

The fourth proportional to 262,175.28, 361,747.57 and 153,258.47 is: 211,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,175.28 : 361,747.57 = 153,258.47 : x
  2. Step 2: Convert to fraction form
    262,175.28/361,747.57 = 153,258.47/x
  3. Step 3: Cross multiply
    262,175.28x = 361,747.57 × 153,258.47
  4. Step 4: Simplify right side
    262,175.28x = 55,440,878,047.74
  5. Step 5: Solve for x
    x = 55,440,878,047.74/262,175.28
  6. Step 6: Final answer
    x = 211,464.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.