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Finding the Fourth Proportional to 117,095.92, 175,644 and 54,810.16

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Solution

The fourth proportional to 117,095.92, 175,644 and 54,810.16 is: 82,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,095.92 : 175,644 = 54,810.16 : x
  2. Step 2: Convert to fraction form
    117,095.92/175,644 = 54,810.16/x
  3. Step 3: Cross multiply
    117,095.92x = 175,644 × 54,810.16
  4. Step 4: Simplify right side
    117,095.92x = 9,627,075,743.04
  5. Step 5: Solve for x
    x = 9,627,075,743.04/117,095.92
  6. Step 6: Final answer
    x = 82,215.30

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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.