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Finding the Fourth Proportional to 177,218.70, 265,951.16 and 72,037.77

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Solution

The fourth proportional to 177,218.70, 265,951.16 and 72,037.77 is: 108,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,218.70 : 265,951.16 = 72,037.77 : x
  2. Step 2: Convert to fraction form
    177,218.70/265,951.16 = 72,037.77/x
  3. Step 3: Cross multiply
    177,218.70x = 265,951.16 × 72,037.77
  4. Step 4: Simplify right side
    177,218.70x = 19,158,528,495.31
  5. Step 5: Solve for x
    x = 19,158,528,495.31/177,218.70
  6. Step 6: Final answer
    x = 108,106.70

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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.