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Finding the Fourth Proportional to 334,147.14, 461,117.34 and 188,950.50

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Solution

The fourth proportional to 334,147.14, 461,117.34 and 188,950.50 is: 260,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,147.14 : 461,117.34 = 188,950.50 : x
  2. Step 2: Convert to fraction form
    334,147.14/461,117.34 = 188,950.50/x
  3. Step 3: Cross multiply
    334,147.14x = 461,117.34 × 188,950.50
  4. Step 4: Simplify right side
    334,147.14x = 87,128,351,951.67
  5. Step 5: Solve for x
    x = 87,128,351,951.67/334,147.14
  6. Step 6: Final answer
    x = 260,748.46

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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.