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Finding the Fourth Proportional to 204,573.32, 282,303.54 and 113,933

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Solution

The fourth proportional to 204,573.32, 282,303.54 and 113,933 is: 157,223.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,573.32 : 282,303.54 = 113,933 : x
  2. Step 2: Convert to fraction form
    204,573.32/282,303.54 = 113,933/x
  3. Step 3: Cross multiply
    204,573.32x = 282,303.54 × 113,933
  4. Step 4: Simplify right side
    204,573.32x = 32,163,689,222.82
  5. Step 5: Solve for x
    x = 32,163,689,222.82/204,573.32
  6. Step 6: Final answer
    x = 157,223.28

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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.