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Finding the Fourth Proportional to 191,849.32, 287,800.28 and 65,455.64

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Solution

The fourth proportional to 191,849.32, 287,800.28 and 65,455.64 is: 98,192.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,849.32 : 287,800.28 = 65,455.64 : x
  2. Step 2: Convert to fraction form
    191,849.32/287,800.28 = 65,455.64/x
  3. Step 3: Cross multiply
    191,849.32x = 287,800.28 × 65,455.64
  4. Step 4: Simplify right side
    191,849.32x = 18,838,151,519.58
  5. Step 5: Solve for x
    x = 18,838,151,519.58/191,849.32
  6. Step 6: Final answer
    x = 98,192.43

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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.