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Finding the Fourth Proportional to 191,899.26, 264,817.76 and 105,866.60

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Solution

The fourth proportional to 191,899.26, 264,817.76 and 105,866.60 is: 146,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,899.26 : 264,817.76 = 105,866.60 : x
  2. Step 2: Convert to fraction form
    191,899.26/264,817.76 = 105,866.60/x
  3. Step 3: Cross multiply
    191,899.26x = 264,817.76 × 105,866.60
  4. Step 4: Simplify right side
    191,899.26x = 28,035,354,017.39
  5. Step 5: Solve for x
    x = 28,035,354,017.39/191,899.26
  6. Step 6: Final answer
    x = 146,094.12

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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.