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Finding the Fourth Proportional to 191,374.16, 287,585.76 and 180,504.56

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Solution

The fourth proportional to 191,374.16, 287,585.76 and 180,504.56 is: 271,251.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,374.16 : 287,585.76 = 180,504.56 : x
  2. Step 2: Convert to fraction form
    191,374.16/287,585.76 = 180,504.56/x
  3. Step 3: Cross multiply
    191,374.16x = 287,585.76 × 180,504.56
  4. Step 4: Simplify right side
    191,374.16x = 51,910,541,071.07
  5. Step 5: Solve for x
    x = 51,910,541,071.07/191,374.16
  6. Step 6: Final answer
    x = 271,251.57

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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.