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Finding the Fourth Proportional to 137,066.94, 205,102.16 and 113,152.08

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Solution

The fourth proportional to 137,066.94, 205,102.16 and 113,152.08 is: 169,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,066.94 : 205,102.16 = 113,152.08 : x
  2. Step 2: Convert to fraction form
    137,066.94/205,102.16 = 113,152.08/x
  3. Step 3: Cross multiply
    137,066.94x = 205,102.16 × 113,152.08
  4. Step 4: Simplify right side
    137,066.94x = 23,207,736,016.49
  5. Step 5: Solve for x
    x = 23,207,736,016.49/137,066.94
  6. Step 6: Final answer
    x = 169,316.80

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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.