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Finding the Fourth Proportional to 191,114.40, 286,977.60 and 151,996.80

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Solution

The fourth proportional to 191,114.40, 286,977.60 and 151,996.80 is: 228,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,114.40 : 286,977.60 = 151,996.80 : x
  2. Step 2: Convert to fraction form
    191,114.40/286,977.60 = 151,996.80/x
  3. Step 3: Cross multiply
    191,114.40x = 286,977.60 × 151,996.80
  4. Step 4: Simplify right side
    191,114.40x = 43,619,676,871.68
  5. Step 5: Solve for x
    x = 43,619,676,871.68/191,114.40
  6. Step 6: Final answer
    x = 228,238.57

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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.