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Finding the Fourth Proportional to 137,763.36, 206,666.64 and 58,878

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Solution

The fourth proportional to 137,763.36, 206,666.64 and 58,878 is: 88,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,763.36 : 206,666.64 = 58,878 : x
  2. Step 2: Convert to fraction form
    137,763.36/206,666.64 = 58,878/x
  3. Step 3: Cross multiply
    137,763.36x = 206,666.64 × 58,878
  4. Step 4: Simplify right side
    137,763.36x = 12,168,118,429.92
  5. Step 5: Solve for x
    x = 12,168,118,429.92/137,763.36
  6. Step 6: Final answer
    x = 88,326.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.