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Finding the Fourth Proportional to 265,864.96, 366,969.52 and 151,205.41

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Solution

The fourth proportional to 265,864.96, 366,969.52 and 151,205.41 is: 208,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,864.96 : 366,969.52 = 151,205.41 : x
  2. Step 2: Convert to fraction form
    265,864.96/366,969.52 = 151,205.41/x
  3. Step 3: Cross multiply
    265,864.96x = 366,969.52 × 151,205.41
  4. Step 4: Simplify right side
    265,864.96x = 55,487,776,729.10
  5. Step 5: Solve for x
    x = 55,487,776,729.10/265,864.96
  6. Step 6: Final answer
    x = 208,706.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.