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Finding the Fourth Proportional to 191,577.34, 264,376.74 and 106,694.40

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Solution

The fourth proportional to 191,577.34, 264,376.74 and 106,694.40 is: 147,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,577.34 : 264,376.74 = 106,694.40 : x
  2. Step 2: Convert to fraction form
    191,577.34/264,376.74 = 106,694.40/x
  3. Step 3: Cross multiply
    191,577.34x = 264,376.74 × 106,694.40
  4. Step 4: Simplify right side
    191,577.34x = 28,207,517,767.76
  5. Step 5: Solve for x
    x = 28,207,517,767.76/191,577.34
  6. Step 6: Final answer
    x = 147,238.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.