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Finding the Fourth Proportional to 177,133.63, 265,763.82 and 75,889.16

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Solution

The fourth proportional to 177,133.63, 265,763.82 and 75,889.16 is: 113,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,133.63 : 265,763.82 = 75,889.16 : x
  2. Step 2: Convert to fraction form
    177,133.63/265,763.82 = 75,889.16/x
  3. Step 3: Cross multiply
    177,133.63x = 265,763.82 × 75,889.16
  4. Step 4: Simplify right side
    177,133.63x = 20,168,593,058.19
  5. Step 5: Solve for x
    x = 20,168,593,058.19/177,133.63
  6. Step 6: Final answer
    x = 113,860.89

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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.