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Finding the Fourth Proportional to 191,580.96, 264,388.32 and 111,008.64

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Solution

The fourth proportional to 191,580.96, 264,388.32 and 111,008.64 is: 153,195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,580.96 : 264,388.32 = 111,008.64 : x
  2. Step 2: Convert to fraction form
    191,580.96/264,388.32 = 111,008.64/x
  3. Step 3: Cross multiply
    191,580.96x = 264,388.32 × 111,008.64
  4. Step 4: Simplify right side
    191,580.96x = 29,349,387,835.08
  5. Step 5: Solve for x
    x = 29,349,387,835.08/191,580.96
  6. Step 6: Final answer
    x = 153,195.74

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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.