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Finding the Fourth Proportional to 188,922.48, 260,838.48 and 117,409.20

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Solution

The fourth proportional to 188,922.48, 260,838.48 and 117,409.20 is: 162,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,922.48 : 260,838.48 = 117,409.20 : x
  2. Step 2: Convert to fraction form
    188,922.48/260,838.48 = 117,409.20/x
  3. Step 3: Cross multiply
    188,922.48x = 260,838.48 × 117,409.20
  4. Step 4: Simplify right side
    188,922.48x = 30,624,837,266.02
  5. Step 5: Solve for x
    x = 30,624,837,266.02/188,922.48
  6. Step 6: Final answer
    x = 162,102.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.