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Finding the Fourth Proportional to 191,409.32, 287,092.10 and 51,178.88

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Solution

The fourth proportional to 191,409.32, 287,092.10 and 51,178.88 is: 76,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,409.32 : 287,092.10 = 51,178.88 : x
  2. Step 2: Convert to fraction form
    191,409.32/287,092.10 = 51,178.88/x
  3. Step 3: Cross multiply
    191,409.32x = 287,092.10 × 51,178.88
  4. Step 4: Simplify right side
    191,409.32x = 14,693,051,878.95
  5. Step 5: Solve for x
    x = 14,693,051,878.95/191,409.32
  6. Step 6: Final answer
    x = 76,762.47

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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.