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Finding the Fourth Proportional to 261,113.79, 360,337.94 and 164,381.65

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Solution

The fourth proportional to 261,113.79, 360,337.94 and 164,381.65 is: 226,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,113.79 : 360,337.94 = 164,381.65 : x
  2. Step 2: Convert to fraction form
    261,113.79/360,337.94 = 164,381.65/x
  3. Step 3: Cross multiply
    261,113.79x = 360,337.94 × 164,381.65
  4. Step 4: Simplify right side
    261,113.79x = 59,232,944,644.91
  5. Step 5: Solve for x
    x = 59,232,944,644.91/261,113.79
  6. Step 6: Final answer
    x = 226,847.25

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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.