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Finding the Fourth Proportional to 205,148.24, 283,093.06 and 114,510.06

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Solution

The fourth proportional to 205,148.24, 283,093.06 and 114,510.06 is: 158,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,148.24 : 283,093.06 = 114,510.06 : x
  2. Step 2: Convert to fraction form
    205,148.24/283,093.06 = 114,510.06/x
  3. Step 3: Cross multiply
    205,148.24x = 283,093.06 × 114,510.06
  4. Step 4: Simplify right side
    205,148.24x = 32,417,003,286.18
  5. Step 5: Solve for x
    x = 32,417,003,286.18/205,148.24
  6. Step 6: Final answer
    x = 158,017.46

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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.