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Finding the Fourth Proportional to 223,089.72, 334,635.06 and 156,825.96

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Solution

The fourth proportional to 223,089.72, 334,635.06 and 156,825.96 is: 235,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,089.72 : 334,635.06 = 156,825.96 : x
  2. Step 2: Convert to fraction form
    223,089.72/334,635.06 = 156,825.96/x
  3. Step 3: Cross multiply
    223,089.72x = 334,635.06 × 156,825.96
  4. Step 4: Simplify right side
    223,089.72x = 52,479,464,534.16
  5. Step 5: Solve for x
    x = 52,479,464,534.16/223,089.72
  6. Step 6: Final answer
    x = 235,239.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.