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Finding the Fourth Proportional to 177,708.53, 265,187.52 and 158,782.88

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Solution

The fourth proportional to 177,708.53, 265,187.52 and 158,782.88 is: 236,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,708.53 : 265,187.52 = 158,782.88 : x
  2. Step 2: Convert to fraction form
    177,708.53/265,187.52 = 158,782.88/x
  3. Step 3: Cross multiply
    177,708.53x = 265,187.52 × 158,782.88
  4. Step 4: Simplify right side
    177,708.53x = 42,107,238,828.63
  5. Step 5: Solve for x
    x = 42,107,238,828.63/177,708.53
  6. Step 6: Final answer
    x = 236,945.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.