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Finding the Fourth Proportional to 191,886.32, 264,804.12 and 107,006.96

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Solution

The fourth proportional to 191,886.32, 264,804.12 and 107,006.96 is: 147,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,886.32 : 264,804.12 = 107,006.96 : x
  2. Step 2: Convert to fraction form
    191,886.32/264,804.12 = 107,006.96/x
  3. Step 3: Cross multiply
    191,886.32x = 264,804.12 × 107,006.96
  4. Step 4: Simplify right side
    191,886.32x = 28,335,883,876.68
  5. Step 5: Solve for x
    x = 28,335,883,876.68/191,886.32
  6. Step 6: Final answer
    x = 147,670.16

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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.