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Finding the Fourth Proportional to 191,969.34, 287,954.04 and 98,415.42

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Solution

The fourth proportional to 191,969.34, 287,954.04 and 98,415.42 is: 147,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,969.34 : 287,954.04 = 98,415.42 : x
  2. Step 2: Convert to fraction form
    191,969.34/287,954.04 = 98,415.42/x
  3. Step 3: Cross multiply
    191,969.34x = 287,954.04 × 98,415.42
  4. Step 4: Simplify right side
    191,969.34x = 28,339,117,787.30
  5. Step 5: Solve for x
    x = 28,339,117,787.30/191,969.34
  6. Step 6: Final answer
    x = 147,623.15

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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.