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Finding the Fourth Proportional to 191,431.82, 287,165.81 and 56,496.40

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Solution

The fourth proportional to 191,431.82, 287,165.81 and 56,496.40 is: 84,749.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,431.82 : 287,165.81 = 56,496.40 : x
  2. Step 2: Convert to fraction form
    191,431.82/287,165.81 = 56,496.40/x
  3. Step 3: Cross multiply
    191,431.82x = 287,165.81 × 56,496.40
  4. Step 4: Simplify right side
    191,431.82x = 16,223,834,185.60
  5. Step 5: Solve for x
    x = 16,223,834,185.60/191,431.82
  6. Step 6: Final answer
    x = 84,749.93

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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.