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Finding the Fourth Proportional to 205,232.40, 307,881 and 86,904.48

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Solution

The fourth proportional to 205,232.40, 307,881 and 86,904.48 is: 130,370.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,232.40 : 307,881 = 86,904.48 : x
  2. Step 2: Convert to fraction form
    205,232.40/307,881 = 86,904.48/x
  3. Step 3: Cross multiply
    205,232.40x = 307,881 × 86,904.48
  4. Step 4: Simplify right side
    205,232.40x = 26,756,238,206.88
  5. Step 5: Solve for x
    x = 26,756,238,206.88/205,232.40
  6. Step 6: Final answer
    x = 130,370.44

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