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Finding the Fourth Proportional to 189,047.74, 260,904.26 and 141,218.05

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Solution

The fourth proportional to 189,047.74, 260,904.26 and 141,218.05 is: 194,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,047.74 : 260,904.26 = 141,218.05 : x
  2. Step 2: Convert to fraction form
    189,047.74/260,904.26 = 141,218.05/x
  3. Step 3: Cross multiply
    189,047.74x = 260,904.26 × 141,218.05
  4. Step 4: Simplify right side
    189,047.74x = 36,844,390,534.68
  5. Step 5: Solve for x
    x = 36,844,390,534.68/189,047.74
  6. Step 6: Final answer
    x = 194,894.64

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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.