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Finding the Fourth Proportional to 202,054.76, 278,896.74 and 117,192.68

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Solution

The fourth proportional to 202,054.76, 278,896.74 and 117,192.68 is: 161,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.76 : 278,896.74 = 117,192.68 : x
  2. Step 2: Convert to fraction form
    202,054.76/278,896.74 = 117,192.68/x
  3. Step 3: Cross multiply
    202,054.76x = 278,896.74 × 117,192.68
  4. Step 4: Simplify right side
    202,054.76x = 32,684,656,403.86
  5. Step 5: Solve for x
    x = 32,684,656,403.86/202,054.76
  6. Step 6: Final answer
    x = 161,761.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.