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Finding the Fourth Proportional to 148,014, 204,264.18 and 80,946

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Solution

The fourth proportional to 148,014, 204,264.18 and 80,946 is: 111,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,014 : 204,264.18 = 80,946 : x
  2. Step 2: Convert to fraction form
    148,014/204,264.18 = 80,946/x
  3. Step 3: Cross multiply
    148,014x = 204,264.18 × 80,946
  4. Step 4: Simplify right side
    148,014x = 16,534,368,314.28
  5. Step 5: Solve for x
    x = 16,534,368,314.28/148,014
  6. Step 6: Final answer
    x = 111,708.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.