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Finding the Fourth Proportional to 261,588.48, 360,992 and 148,433.92

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Solution

The fourth proportional to 261,588.48, 360,992 and 148,433.92 is: 204,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,588.48 : 360,992 = 148,433.92 : x
  2. Step 2: Convert to fraction form
    261,588.48/360,992 = 148,433.92/x
  3. Step 3: Cross multiply
    261,588.48x = 360,992 × 148,433.92
  4. Step 4: Simplify right side
    261,588.48x = 53,583,457,648.64
  5. Step 5: Solve for x
    x = 53,583,457,648.64/261,588.48
  6. Step 6: Final answer
    x = 204,838.75

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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.