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Finding the Fourth Proportional to 152,354.88, 228,592.44 and 110,287.90

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Solution

The fourth proportional to 152,354.88, 228,592.44 and 110,287.90 is: 165,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,354.88 : 228,592.44 = 110,287.90 : x
  2. Step 2: Convert to fraction form
    152,354.88/228,592.44 = 110,287.90/x
  3. Step 3: Cross multiply
    152,354.88x = 228,592.44 × 110,287.90
  4. Step 4: Simplify right side
    152,354.88x = 25,210,980,163.48
  5. Step 5: Solve for x
    x = 25,210,980,163.48/152,354.88
  6. Step 6: Final answer
    x = 165,475.37

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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.