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Finding the Fourth Proportional to 137,435.16, 205,737.72 and 124,293.72

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Solution

The fourth proportional to 137,435.16, 205,737.72 and 124,293.72 is: 186,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.16 : 205,737.72 = 124,293.72 : x
  2. Step 2: Convert to fraction form
    137,435.16/205,737.72 = 124,293.72/x
  3. Step 3: Cross multiply
    137,435.16x = 205,737.72 × 124,293.72
  4. Step 4: Simplify right side
    137,435.16x = 25,571,906,563.12
  5. Step 5: Solve for x
    x = 25,571,906,563.12/137,435.16
  6. Step 6: Final answer
    x = 186,065.24

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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.