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Finding the Fourth Proportional to 191,157.12, 286,794 and 97,728.48

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Solution

The fourth proportional to 191,157.12, 286,794 and 97,728.48 is: 146,622.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,157.12 : 286,794 = 97,728.48 : x
  2. Step 2: Convert to fraction form
    191,157.12/286,794 = 97,728.48/x
  3. Step 3: Cross multiply
    191,157.12x = 286,794 × 97,728.48
  4. Step 4: Simplify right side
    191,157.12x = 28,027,941,693.12
  5. Step 5: Solve for x
    x = 28,027,941,693.12/191,157.12
  6. Step 6: Final answer
    x = 146,622.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.