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Finding the Fourth Proportional to 125,984.55, 188,054.97 and 111,038.16

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Solution

The fourth proportional to 125,984.55, 188,054.97 and 111,038.16 is: 165,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,984.55 : 188,054.97 = 111,038.16 : x
  2. Step 2: Convert to fraction form
    125,984.55/188,054.97 = 111,038.16/x
  3. Step 3: Cross multiply
    125,984.55x = 188,054.97 × 111,038.16
  4. Step 4: Simplify right side
    125,984.55x = 20,881,277,847.66
  5. Step 5: Solve for x
    x = 20,881,277,847.66/125,984.55
  6. Step 6: Final answer
    x = 165,744.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.