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Finding the Fourth Proportional to 202,077.90, 278,861.10 and 111,437.69

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Solution

The fourth proportional to 202,077.90, 278,861.10 and 111,437.69 is: 153,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,077.90 : 278,861.10 = 111,437.69 : x
  2. Step 2: Convert to fraction form
    202,077.90/278,861.10 = 111,437.69/x
  3. Step 3: Cross multiply
    202,077.90x = 278,861.10 × 111,437.69
  4. Step 4: Simplify right side
    202,077.90x = 31,075,635,420.55
  5. Step 5: Solve for x
    x = 31,075,635,420.55/202,077.90
  6. Step 6: Final answer
    x = 153,780.47

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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.