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Finding the Fourth Proportional to 132,946.56, 199,419.84 and 105,264

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Solution

The fourth proportional to 132,946.56, 199,419.84 and 105,264 is: 157,896

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,946.56 : 199,419.84 = 105,264 : x
  2. Step 2: Convert to fraction form
    132,946.56/199,419.84 = 105,264/x
  3. Step 3: Cross multiply
    132,946.56x = 199,419.84 × 105,264
  4. Step 4: Simplify right side
    132,946.56x = 20,991,730,037.76
  5. Step 5: Solve for x
    x = 20,991,730,037.76/132,946.56
  6. Step 6: Final answer
    x = 157,896

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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.