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Finding the Fourth Proportional to 164,350.08, 245,954.88 and 101,142

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Solution

The fourth proportional to 164,350.08, 245,954.88 and 101,142 is: 151,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,350.08 : 245,954.88 = 101,142 : x
  2. Step 2: Convert to fraction form
    164,350.08/245,954.88 = 101,142/x
  3. Step 3: Cross multiply
    164,350.08x = 245,954.88 × 101,142
  4. Step 4: Simplify right side
    164,350.08x = 24,876,368,472.96
  5. Step 5: Solve for x
    x = 24,876,368,472.96/164,350.08
  6. Step 6: Final answer
    x = 151,362.07

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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.