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Finding the Fourth Proportional to 260,206.80, 358,976.57 and 202,746.34

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Solution

The fourth proportional to 260,206.80, 358,976.57 and 202,746.34 is: 279,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,206.80 : 358,976.57 = 202,746.34 : x
  2. Step 2: Convert to fraction form
    260,206.80/358,976.57 = 202,746.34/x
  3. Step 3: Cross multiply
    260,206.80x = 358,976.57 × 202,746.34
  4. Step 4: Simplify right side
    260,206.80x = 72,781,185,718.47
  5. Step 5: Solve for x
    x = 72,781,185,718.47/260,206.80
  6. Step 6: Final answer
    x = 279,705.16

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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.