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Finding the Fourth Proportional to 203,123.29, 280,306.71 and 112,477.32

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Solution

The fourth proportional to 203,123.29, 280,306.71 and 112,477.32 is: 155,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,123.29 : 280,306.71 = 112,477.32 : x
  2. Step 2: Convert to fraction form
    203,123.29/280,306.71 = 112,477.32/x
  3. Step 3: Cross multiply
    203,123.29x = 280,306.71 × 112,477.32
  4. Step 4: Simplify right side
    203,123.29x = 31,528,147,518.82
  5. Step 5: Solve for x
    x = 31,528,147,518.82/203,123.29
  6. Step 6: Final answer
    x = 155,216.80

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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.