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Finding the Fourth Proportional to 171,143.76, 256,465.02 and 96,409.56

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Solution

The fourth proportional to 171,143.76, 256,465.02 and 96,409.56 is: 144,473.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,143.76 : 256,465.02 = 96,409.56 : x
  2. Step 2: Convert to fraction form
    171,143.76/256,465.02 = 96,409.56/x
  3. Step 3: Cross multiply
    171,143.76x = 256,465.02 × 96,409.56
  4. Step 4: Simplify right side
    171,143.76x = 24,725,679,733.59
  5. Step 5: Solve for x
    x = 24,725,679,733.59/171,143.76
  6. Step 6: Final answer
    x = 144,473.16

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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.