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Finding the Fourth Proportional to 191,802.82, 287,787.22 and 102,952.57

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Solution

The fourth proportional to 191,802.82, 287,787.22 and 102,952.57 is: 154,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,802.82 : 287,787.22 = 102,952.57 : x
  2. Step 2: Convert to fraction form
    191,802.82/287,787.22 = 102,952.57/x
  3. Step 3: Cross multiply
    191,802.82x = 287,787.22 × 102,952.57
  4. Step 4: Simplify right side
    191,802.82x = 29,628,432,935.31
  5. Step 5: Solve for x
    x = 29,628,432,935.31/191,802.82
  6. Step 6: Final answer
    x = 154,473.40

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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.