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Finding the Fourth Proportional to 261,333.64, 360,618.60 and 146,596.30

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Solution

The fourth proportional to 261,333.64, 360,618.60 and 146,596.30 is: 202,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,333.64 : 360,618.60 = 146,596.30 : x
  2. Step 2: Convert to fraction form
    261,333.64/360,618.60 = 146,596.30/x
  3. Step 3: Cross multiply
    261,333.64x = 360,618.60 × 146,596.30
  4. Step 4: Simplify right side
    261,333.64x = 52,865,352,471.18
  5. Step 5: Solve for x
    x = 52,865,352,471.18/261,333.64
  6. Step 6: Final answer
    x = 202,290.65

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