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Finding the Fourth Proportional to 191,350.98, 286,982.64 and 56,380.14

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Solution

The fourth proportional to 191,350.98, 286,982.64 and 56,380.14 is: 84,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,350.98 : 286,982.64 = 56,380.14 : x
  2. Step 2: Convert to fraction form
    191,350.98/286,982.64 = 56,380.14/x
  3. Step 3: Cross multiply
    191,350.98x = 286,982.64 × 56,380.14
  4. Step 4: Simplify right side
    191,350.98x = 16,180,121,420.77
  5. Step 5: Solve for x
    x = 16,180,121,420.77/191,350.98
  6. Step 6: Final answer
    x = 84,557.30

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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.