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Finding the Fourth Proportional to 191,523.14, 286,584.86 and 112,674.50

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Solution

The fourth proportional to 191,523.14, 286,584.86 and 112,674.50 is: 168,600.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,523.14 : 286,584.86 = 112,674.50 : x
  2. Step 2: Convert to fraction form
    191,523.14/286,584.86 = 112,674.50/x
  3. Step 3: Cross multiply
    191,523.14x = 286,584.86 × 112,674.50
  4. Step 4: Simplify right side
    191,523.14x = 32,290,803,811.77
  5. Step 5: Solve for x
    x = 32,290,803,811.77/191,523.14
  6. Step 6: Final answer
    x = 168,600.02

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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.