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Finding the Fourth Proportional to 220,572, 304,389.72 and 119,970

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Solution

The fourth proportional to 220,572, 304,389.72 and 119,970 is: 165,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,572 : 304,389.72 = 119,970 : x
  2. Step 2: Convert to fraction form
    220,572/304,389.72 = 119,970/x
  3. Step 3: Cross multiply
    220,572x = 304,389.72 × 119,970
  4. Step 4: Simplify right side
    220,572x = 36,517,634,708.40
  5. Step 5: Solve for x
    x = 36,517,634,708.40/220,572
  6. Step 6: Final answer
    x = 165,558.80

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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.