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Finding the Fourth Proportional to 191,940.16, 264,878.34 and 105,899.14

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Solution

The fourth proportional to 191,940.16, 264,878.34 and 105,899.14 is: 146,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,940.16 : 264,878.34 = 105,899.14 : x
  2. Step 2: Convert to fraction form
    191,940.16/264,878.34 = 105,899.14/x
  3. Step 3: Cross multiply
    191,940.16x = 264,878.34 × 105,899.14
  4. Step 4: Simplify right side
    191,940.16x = 28,050,388,410.63
  5. Step 5: Solve for x
    x = 28,050,388,410.63/191,940.16
  6. Step 6: Final answer
    x = 146,141.32

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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.