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Finding the Fourth Proportional to 221,638.36, 305,653.32 and 176,465.46

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Solution

The fourth proportional to 221,638.36, 305,653.32 and 176,465.46 is: 243,357.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,638.36 : 305,653.32 = 176,465.46 : x
  2. Step 2: Convert to fraction form
    221,638.36/305,653.32 = 176,465.46/x
  3. Step 3: Cross multiply
    221,638.36x = 305,653.32 × 176,465.46
  4. Step 4: Simplify right side
    221,638.36x = 53,937,253,714.33
  5. Step 5: Solve for x
    x = 53,937,253,714.33/221,638.36
  6. Step 6: Final answer
    x = 243,357.03

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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.