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Finding the Fourth Proportional to 202,020, 278,814.60 and 130,608.24

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Solution

The fourth proportional to 202,020, 278,814.60 and 130,608.24 is: 180,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,020 : 278,814.60 = 130,608.24 : x
  2. Step 2: Convert to fraction form
    202,020/278,814.60 = 130,608.24/x
  3. Step 3: Cross multiply
    202,020x = 278,814.60 × 130,608.24
  4. Step 4: Simplify right side
    202,020x = 36,415,484,192.30
  5. Step 5: Solve for x
    x = 36,415,484,192.30/202,020
  6. Step 6: Final answer
    x = 180,256.83

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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.