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Finding the Fourth Proportional to 164,956.94, 248,671.52 and 153,971.31

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Solution

The fourth proportional to 164,956.94, 248,671.52 and 153,971.31 is: 232,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,956.94 : 248,671.52 = 153,971.31 : x
  2. Step 2: Convert to fraction form
    164,956.94/248,671.52 = 153,971.31/x
  3. Step 3: Cross multiply
    164,956.94x = 248,671.52 × 153,971.31
  4. Step 4: Simplify right side
    164,956.94x = 38,288,280,079.02
  5. Step 5: Solve for x
    x = 38,288,280,079.02/164,956.94
  6. Step 6: Final answer
    x = 232,110.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.