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Finding the Fourth Proportional to 137,157.66, 189,291.06 and 86,208.75

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Solution

The fourth proportional to 137,157.66, 189,291.06 and 86,208.75 is: 118,976.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,157.66 : 189,291.06 = 86,208.75 : x
  2. Step 2: Convert to fraction form
    137,157.66/189,291.06 = 86,208.75/x
  3. Step 3: Cross multiply
    137,157.66x = 189,291.06 × 86,208.75
  4. Step 4: Simplify right side
    137,157.66x = 16,318,545,668.78
  5. Step 5: Solve for x
    x = 16,318,545,668.78/137,157.66
  6. Step 6: Final answer
    x = 118,976.55

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1.5x scale

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.