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Finding the Fourth Proportional to 191,883.10, 287,798.72 and 51,650.14

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Solution

The fourth proportional to 191,883.10, 287,798.72 and 51,650.14 is: 77,468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,883.10 : 287,798.72 = 51,650.14 : x
  2. Step 2: Convert to fraction form
    191,883.10/287,798.72 = 51,650.14/x
  3. Step 3: Cross multiply
    191,883.10x = 287,798.72 × 51,650.14
  4. Step 4: Simplify right side
    191,883.10x = 14,864,844,179.82
  5. Step 5: Solve for x
    x = 14,864,844,179.82/191,883.10
  6. Step 6: Final answer
    x = 77,468.23

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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.