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Finding the Fourth Proportional to 119,141.09, 178,746.22 and 48,027.02

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Solution

The fourth proportional to 119,141.09, 178,746.22 and 48,027.02 is: 72,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,141.09 : 178,746.22 = 48,027.02 : x
  2. Step 2: Convert to fraction form
    119,141.09/178,746.22 = 48,027.02/x
  3. Step 3: Cross multiply
    119,141.09x = 178,746.22 × 48,027.02
  4. Step 4: Simplify right side
    119,141.09x = 8,584,648,609.66
  5. Step 5: Solve for x
    x = 8,584,648,609.66/119,141.09
  6. Step 6: Final answer
    x = 72,054.48

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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.