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Finding the Fourth Proportional to 261,047.88, 360,224.07 and 144,764.69

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Solution

The fourth proportional to 261,047.88, 360,224.07 and 144,764.69 is: 199,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,047.88 : 360,224.07 = 144,764.69 : x
  2. Step 2: Convert to fraction form
    261,047.88/360,224.07 = 144,764.69/x
  3. Step 3: Cross multiply
    261,047.88x = 360,224.07 × 144,764.69
  4. Step 4: Simplify right side
    261,047.88x = 52,147,725,373.81
  5. Step 5: Solve for x
    x = 52,147,725,373.81/261,047.88
  6. Step 6: Final answer
    x = 199,763.07

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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.