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Finding the Fourth Proportional to 191,761.22, 264,639.54 and 106,878.90

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Solution

The fourth proportional to 191,761.22, 264,639.54 and 106,878.90 is: 147,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,761.22 : 264,639.54 = 106,878.90 : x
  2. Step 2: Convert to fraction form
    191,761.22/264,639.54 = 106,878.90/x
  3. Step 3: Cross multiply
    191,761.22x = 264,639.54 × 106,878.90
  4. Step 4: Simplify right side
    191,761.22x = 28,284,382,931.71
  5. Step 5: Solve for x
    x = 28,284,382,931.71/191,761.22
  6. Step 6: Final answer
    x = 147,497.93

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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.