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Finding the Fourth Proportional to 189,466.92, 284,117.70 and 100,699.08

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Solution

The fourth proportional to 189,466.92, 284,117.70 and 100,699.08 is: 151,004.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,466.92 : 284,117.70 = 100,699.08 : x
  2. Step 2: Convert to fraction form
    189,466.92/284,117.70 = 100,699.08/x
  3. Step 3: Cross multiply
    189,466.92x = 284,117.70 × 100,699.08
  4. Step 4: Simplify right side
    189,466.92x = 28,610,391,001.72
  5. Step 5: Solve for x
    x = 28,610,391,001.72/189,466.92
  6. Step 6: Final answer
    x = 151,004.68

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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.