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Finding the Fourth Proportional to 116,256, 174,409.92 and 42,384

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Solution

The fourth proportional to 116,256, 174,409.92 and 42,384 is: 63,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,256 : 174,409.92 = 42,384 : x
  2. Step 2: Convert to fraction form
    116,256/174,409.92 = 42,384/x
  3. Step 3: Cross multiply
    116,256x = 174,409.92 × 42,384
  4. Step 4: Simplify right side
    116,256x = 7,392,190,049.28
  5. Step 5: Solve for x
    x = 7,392,190,049.28/116,256
  6. Step 6: Final answer
    x = 63,585.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.