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Finding the Fourth Proportional to 191,009.20, 286,513.80 and 157,766.80

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Solution

The fourth proportional to 191,009.20, 286,513.80 and 157,766.80 is: 236,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,009.20 : 286,513.80 = 157,766.80 : x
  2. Step 2: Convert to fraction form
    191,009.20/286,513.80 = 157,766.80/x
  3. Step 3: Cross multiply
    191,009.20x = 286,513.80 × 157,766.80
  4. Step 4: Simplify right side
    191,009.20x = 45,202,365,381.84
  5. Step 5: Solve for x
    x = 45,202,365,381.84/191,009.20
  6. Step 6: Final answer
    x = 236,650.20

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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.