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Finding the Fourth Proportional to 191,993.60, 264,948.87 and 105,953.24

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Solution

The fourth proportional to 191,993.60, 264,948.87 and 105,953.24 is: 146,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,993.60 : 264,948.87 = 105,953.24 : x
  2. Step 2: Convert to fraction form
    191,993.60/264,948.87 = 105,953.24/x
  3. Step 3: Cross multiply
    191,993.60x = 264,948.87 × 105,953.24
  4. Step 4: Simplify right side
    191,993.60x = 28,072,191,210.84
  5. Step 5: Solve for x
    x = 28,072,191,210.84/191,993.60
  6. Step 6: Final answer
    x = 146,214.20

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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.