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Finding the Fourth Proportional to 191,871.54, 264,779.46 and 105,838.86

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Solution

The fourth proportional to 191,871.54, 264,779.46 and 105,838.86 is: 146,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,871.54 : 264,779.46 = 105,838.86 : x
  2. Step 2: Convert to fraction form
    191,871.54/264,779.46 = 105,838.86/x
  3. Step 3: Cross multiply
    191,871.54x = 264,779.46 × 105,838.86
  4. Step 4: Simplify right side
    191,871.54x = 28,023,956,197.82
  5. Step 5: Solve for x
    x = 28,023,956,197.82/191,871.54
  6. Step 6: Final answer
    x = 146,055.83

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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.