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Finding the Fourth Proportional to 202,065.64, 278,852.52 and 111,424.82

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Solution

The fourth proportional to 202,065.64, 278,852.52 and 111,424.82 is: 153,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,065.64 : 278,852.52 = 111,424.82 : x
  2. Step 2: Convert to fraction form
    202,065.64/278,852.52 = 111,424.82/x
  3. Step 3: Cross multiply
    202,065.64x = 278,852.52 × 111,424.82
  4. Step 4: Simplify right side
    202,065.64x = 31,071,090,871.13
  5. Step 5: Solve for x
    x = 31,071,090,871.13/202,065.64
  6. Step 6: Final answer
    x = 153,767.32

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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.