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Finding the Fourth Proportional to 197,657.58, 296,541.71 and 79,411.96

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Solution

The fourth proportional to 197,657.58, 296,541.71 and 79,411.96 is: 119,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,657.58 : 296,541.71 = 79,411.96 : x
  2. Step 2: Convert to fraction form
    197,657.58/296,541.71 = 79,411.96/x
  3. Step 3: Cross multiply
    197,657.58x = 296,541.71 × 79,411.96
  4. Step 4: Simplify right side
    197,657.58x = 23,548,958,684.26
  5. Step 5: Solve for x
    x = 23,548,958,684.26/197,657.58
  6. Step 6: Final answer
    x = 119,140.17

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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.