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Finding the Fourth Proportional to 137,325.51, 205,993.73 and 42,565.53

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Solution

The fourth proportional to 137,325.51, 205,993.73 and 42,565.53 is: 63,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,325.51 : 205,993.73 = 42,565.53 : x
  2. Step 2: Convert to fraction form
    137,325.51/205,993.73 = 42,565.53/x
  3. Step 3: Cross multiply
    137,325.51x = 205,993.73 × 42,565.53
  4. Step 4: Simplify right side
    137,325.51x = 8,768,233,173.02
  5. Step 5: Solve for x
    x = 8,768,233,173.02/137,325.51
  6. Step 6: Final answer
    x = 63,850.00

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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.