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Finding the Fourth Proportional to 205,111.40, 307,652.50 and 55,360.22

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Solution

The fourth proportional to 205,111.40, 307,652.50 and 55,360.22 is: 83,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,111.40 : 307,652.50 = 55,360.22 : x
  2. Step 2: Convert to fraction form
    205,111.40/307,652.50 = 55,360.22/x
  3. Step 3: Cross multiply
    205,111.40x = 307,652.50 × 55,360.22
  4. Step 4: Simplify right side
    205,111.40x = 17,031,710,083.55
  5. Step 5: Solve for x
    x = 17,031,710,083.55/205,111.40
  6. Step 6: Final answer
    x = 83,036.39

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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.