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Finding the Fourth Proportional to 191,794.68, 287,323.73 and 107,298.77

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Solution

The fourth proportional to 191,794.68, 287,323.73 and 107,298.77 is: 160,742.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,794.68 : 287,323.73 = 107,298.77 : x
  2. Step 2: Convert to fraction form
    191,794.68/287,323.73 = 107,298.77/x
  3. Step 3: Cross multiply
    191,794.68x = 287,323.73 × 107,298.77
  4. Step 4: Simplify right side
    191,794.68x = 30,829,480,847.70
  5. Step 5: Solve for x
    x = 30,829,480,847.70/191,794.68
  6. Step 6: Final answer
    x = 160,742.11

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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.