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Finding the Fourth Proportional to 261,400.29, 360,731.66 and 145,131.51

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Solution

The fourth proportional to 261,400.29, 360,731.66 and 145,131.51 is: 200,281.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,400.29 : 360,731.66 = 145,131.51 : x
  2. Step 2: Convert to fraction form
    261,400.29/360,731.66 = 145,131.51/x
  3. Step 3: Cross multiply
    261,400.29x = 360,731.66 × 145,131.51
  4. Step 4: Simplify right side
    261,400.29x = 52,353,529,794.95
  5. Step 5: Solve for x
    x = 52,353,529,794.95/261,400.29
  6. Step 6: Final answer
    x = 200,281.07

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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.