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Finding the Fourth Proportional to 153,881.89, 230,904.11 and 109,192.02

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Solution

The fourth proportional to 153,881.89, 230,904.11 and 109,192.02 is: 163,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,881.89 : 230,904.11 = 109,192.02 : x
  2. Step 2: Convert to fraction form
    153,881.89/230,904.11 = 109,192.02/x
  3. Step 3: Cross multiply
    153,881.89x = 230,904.11 × 109,192.02
  4. Step 4: Simplify right side
    153,881.89x = 25,212,886,784.79
  5. Step 5: Solve for x
    x = 25,212,886,784.79/153,881.89
  6. Step 6: Final answer
    x = 163,845.71

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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.