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Finding the Fourth Proportional to 205,873.56, 308,767.14 and 58,095

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Solution

The fourth proportional to 205,873.56, 308,767.14 and 58,095 is: 87,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,873.56 : 308,767.14 = 58,095 : x
  2. Step 2: Convert to fraction form
    205,873.56/308,767.14 = 58,095/x
  3. Step 3: Cross multiply
    205,873.56x = 308,767.14 × 58,095
  4. Step 4: Simplify right side
    205,873.56x = 17,937,826,998.30
  5. Step 5: Solve for x
    x = 17,937,826,998.30/205,873.56
  6. Step 6: Final answer
    x = 87,130.31

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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.