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Finding the Fourth Proportional to 223,498.76, 308,555.36 and 178,031.03

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Solution

The fourth proportional to 223,498.76, 308,555.36 and 178,031.03 is: 245,784.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,498.76 : 308,555.36 = 178,031.03 : x
  2. Step 2: Convert to fraction form
    223,498.76/308,555.36 = 178,031.03/x
  3. Step 3: Cross multiply
    223,498.76x = 308,555.36 × 178,031.03
  4. Step 4: Simplify right side
    223,498.76x = 54,932,426,119.89
  5. Step 5: Solve for x
    x = 54,932,426,119.89/223,498.76
  6. Step 6: Final answer
    x = 245,784.04

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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.