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Finding the Fourth Proportional to 219,203.08, 302,224.86 and 178,875.88

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Solution

The fourth proportional to 219,203.08, 302,224.86 and 178,875.88 is: 246,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,203.08 : 302,224.86 = 178,875.88 : x
  2. Step 2: Convert to fraction form
    219,203.08/302,224.86 = 178,875.88/x
  3. Step 3: Cross multiply
    219,203.08x = 302,224.86 × 178,875.88
  4. Step 4: Simplify right side
    219,203.08x = 54,060,737,790.38
  5. Step 5: Solve for x
    x = 54,060,737,790.38/219,203.08
  6. Step 6: Final answer
    x = 246,623.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.