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Finding the Fourth Proportional to 174,963.82, 262,561.56 and 96,133

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Solution

The fourth proportional to 174,963.82, 262,561.56 and 96,133 is: 144,263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,963.82 : 262,561.56 = 96,133 : x
  2. Step 2: Convert to fraction form
    174,963.82/262,561.56 = 96,133/x
  3. Step 3: Cross multiply
    174,963.82x = 262,561.56 × 96,133
  4. Step 4: Simplify right side
    174,963.82x = 25,240,830,447.48
  5. Step 5: Solve for x
    x = 25,240,830,447.48/174,963.82
  6. Step 6: Final answer
    x = 144,263.14

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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.