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Finding the Fourth Proportional to 191,494.80, 264,269.99 and 105,457.55

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Solution

The fourth proportional to 191,494.80, 264,269.99 and 105,457.55 is: 145,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,494.80 : 264,269.99 = 105,457.55 : x
  2. Step 2: Convert to fraction form
    191,494.80/264,269.99 = 105,457.55/x
  3. Step 3: Cross multiply
    191,494.80x = 264,269.99 × 105,457.55
  4. Step 4: Simplify right side
    191,494.80x = 27,869,264,626.22
  5. Step 5: Solve for x
    x = 27,869,264,626.22/191,494.80
  6. Step 6: Final answer
    x = 145,535.36

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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.