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Finding the Fourth Proportional to 146,803.40, 220,205.10 and 102,566.60

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Solution

The fourth proportional to 146,803.40, 220,205.10 and 102,566.60 is: 153,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,803.40 : 220,205.10 = 102,566.60 : x
  2. Step 2: Convert to fraction form
    146,803.40/220,205.10 = 102,566.60/x
  3. Step 3: Cross multiply
    146,803.40x = 220,205.10 × 102,566.60
  4. Step 4: Simplify right side
    146,803.40x = 22,585,688,409.66
  5. Step 5: Solve for x
    x = 22,585,688,409.66/146,803.40
  6. Step 6: Final answer
    x = 153,849.90

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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.