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Finding the Fourth Proportional to 164,532.60, 246,689.55 and 75,740.40

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Solution

The fourth proportional to 164,532.60, 246,689.55 and 75,740.40 is: 113,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,532.60 : 246,689.55 = 75,740.40 : x
  2. Step 2: Convert to fraction form
    164,532.60/246,689.55 = 75,740.40/x
  3. Step 3: Cross multiply
    164,532.60x = 246,689.55 × 75,740.40
  4. Step 4: Simplify right side
    164,532.60x = 18,684,365,192.82
  5. Step 5: Solve for x
    x = 18,684,365,192.82/164,532.60
  6. Step 6: Final answer
    x = 113,560.26

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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.