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Finding the Fourth Proportional to 261,980.68, 361,533.35 and 142,748.68

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Solution

The fourth proportional to 261,980.68, 361,533.35 and 142,748.68 is: 196,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,980.68 : 361,533.35 = 142,748.68 : x
  2. Step 2: Convert to fraction form
    261,980.68/361,533.35 = 142,748.68/x
  3. Step 3: Cross multiply
    261,980.68x = 361,533.35 × 142,748.68
  4. Step 4: Simplify right side
    261,980.68x = 51,608,408,488.48
  5. Step 5: Solve for x
    x = 51,608,408,488.48/261,980.68
  6. Step 6: Final answer
    x = 196,993.18

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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.