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Finding the Fourth Proportional to 137,133.70, 205,700.55 and 109,485.70

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Solution

The fourth proportional to 137,133.70, 205,700.55 and 109,485.70 is: 164,228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,133.70 : 205,700.55 = 109,485.70 : x
  2. Step 2: Convert to fraction form
    137,133.70/205,700.55 = 109,485.70/x
  3. Step 3: Cross multiply
    137,133.70x = 205,700.55 × 109,485.70
  4. Step 4: Simplify right side
    137,133.70x = 22,521,268,707.14
  5. Step 5: Solve for x
    x = 22,521,268,707.14/137,133.70
  6. Step 6: Final answer
    x = 164,228.55

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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.