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Finding the Fourth Proportional to 191,880.16, 264,794.87 and 105,837.20

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Solution

The fourth proportional to 191,880.16, 264,794.87 and 105,837.20 is: 146,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,880.16 : 264,794.87 = 105,837.20 : x
  2. Step 2: Convert to fraction form
    191,880.16/264,794.87 = 105,837.20/x
  3. Step 3: Cross multiply
    191,880.16x = 264,794.87 × 105,837.20
  4. Step 4: Simplify right side
    191,880.16x = 28,025,147,548.76
  5. Step 5: Solve for x
    x = 28,025,147,548.76/191,880.16
  6. Step 6: Final answer
    x = 146,055.48

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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.