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Finding the Fourth Proportional to 260,042.51, 358,865.77 and 146,865.26

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Solution

The fourth proportional to 260,042.51, 358,865.77 and 146,865.26 is: 202,678.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.51 : 358,865.77 = 146,865.26 : x
  2. Step 2: Convert to fraction form
    260,042.51/358,865.77 = 146,865.26/x
  3. Step 3: Cross multiply
    260,042.51x = 358,865.77 × 146,865.26
  4. Step 4: Simplify right side
    260,042.51x = 52,704,914,616.15
  5. Step 5: Solve for x
    x = 52,704,914,616.15/260,042.51
  6. Step 6: Final answer
    x = 202,678.07

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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.