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Finding the Fourth Proportional to 191,898.52, 287,847.78 and 51,653.50

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Solution

The fourth proportional to 191,898.52, 287,847.78 and 51,653.50 is: 77,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,898.52 : 287,847.78 = 51,653.50 : x
  2. Step 2: Convert to fraction form
    191,898.52/287,847.78 = 51,653.50/x
  3. Step 3: Cross multiply
    191,898.52x = 287,847.78 × 51,653.50
  4. Step 4: Simplify right side
    191,898.52x = 14,868,345,304.23
  5. Step 5: Solve for x
    x = 14,868,345,304.23/191,898.52
  6. Step 6: Final answer
    x = 77,480.25

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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.