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Finding the Fourth Proportional to 177,275.50, 265,914.12 and 64,964

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Solution

The fourth proportional to 177,275.50, 265,914.12 and 64,964 is: 97,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,275.50 : 265,914.12 = 64,964 : x
  2. Step 2: Convert to fraction form
    177,275.50/265,914.12 = 64,964/x
  3. Step 3: Cross multiply
    177,275.50x = 265,914.12 × 64,964
  4. Step 4: Simplify right side
    177,275.50x = 17,274,844,891.68
  5. Step 5: Solve for x
    x = 17,274,844,891.68/177,275.50
  6. Step 6: Final answer
    x = 97,446.32

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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.