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Finding the Fourth Proportional to 169,062.94, 253,594.50 and 137,435.32

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Solution

The fourth proportional to 169,062.94, 253,594.50 and 137,435.32 is: 206,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,062.94 : 253,594.50 = 137,435.32 : x
  2. Step 2: Convert to fraction form
    169,062.94/253,594.50 = 137,435.32/x
  3. Step 3: Cross multiply
    169,062.94x = 253,594.50 × 137,435.32
  4. Step 4: Simplify right side
    169,062.94x = 34,852,841,257.74
  5. Step 5: Solve for x
    x = 34,852,841,257.74/169,062.94
  6. Step 6: Final answer
    x = 206,153.05

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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.