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Finding the Fourth Proportional to 148,602, 205,074.36 and 81,534

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Solution

The fourth proportional to 148,602, 205,074.36 and 81,534 is: 112,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602 : 205,074.36 = 81,534 : x
  2. Step 2: Convert to fraction form
    148,602/205,074.36 = 81,534/x
  3. Step 3: Cross multiply
    148,602x = 205,074.36 × 81,534
  4. Step 4: Simplify right side
    148,602x = 16,720,532,868.24
  5. Step 5: Solve for x
    x = 16,720,532,868.24/148,602
  6. Step 6: Final answer
    x = 112,518.90

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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.