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Finding the Fourth Proportional to 191,930.34, 287,895.51 and 98,376.42

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Solution

The fourth proportional to 191,930.34, 287,895.51 and 98,376.42 is: 147,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,930.34 : 287,895.51 = 98,376.42 : x
  2. Step 2: Convert to fraction form
    191,930.34/287,895.51 = 98,376.42/x
  3. Step 3: Cross multiply
    191,930.34x = 287,895.51 × 98,376.42
  4. Step 4: Simplify right side
    191,930.34x = 28,322,129,607.87
  5. Step 5: Solve for x
    x = 28,322,129,607.87/191,930.34
  6. Step 6: Final answer
    x = 147,564.63

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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.