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Finding the Fourth Proportional to 136,598, 204,989.52 and 47,852.24

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Solution

The fourth proportional to 136,598, 204,989.52 and 47,852.24 is: 71,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,598 : 204,989.52 = 47,852.24 : x
  2. Step 2: Convert to fraction form
    136,598/204,989.52 = 47,852.24/x
  3. Step 3: Cross multiply
    136,598x = 204,989.52 × 47,852.24
  4. Step 4: Simplify right side
    136,598x = 9,809,207,708.52
  5. Step 5: Solve for x
    x = 9,809,207,708.52/136,598
  6. Step 6: Final answer
    x = 71,810.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.