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Finding the Fourth Proportional to 191,443.50, 287,296.47 and 66,784.50

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Solution

The fourth proportional to 191,443.50, 287,296.47 and 66,784.50 is: 100,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,443.50 : 287,296.47 = 66,784.50 : x
  2. Step 2: Convert to fraction form
    191,443.50/287,296.47 = 66,784.50/x
  3. Step 3: Cross multiply
    191,443.50x = 287,296.47 × 66,784.50
  4. Step 4: Simplify right side
    191,443.50x = 19,186,951,100.72
  5. Step 5: Solve for x
    x = 19,186,951,100.72/191,443.50
  6. Step 6: Final answer
    x = 100,222.53

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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.