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Finding the Fourth Proportional to 260,031.47, 358,736.56 and 158,040.50

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Solution

The fourth proportional to 260,031.47, 358,736.56 and 158,040.50 is: 218,030.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.47 : 358,736.56 = 158,040.50 : x
  2. Step 2: Convert to fraction form
    260,031.47/358,736.56 = 158,040.50/x
  3. Step 3: Cross multiply
    260,031.47x = 358,736.56 × 158,040.50
  4. Step 4: Simplify right side
    260,031.47x = 56,694,902,726.79
  5. Step 5: Solve for x
    x = 56,694,902,726.79/260,031.47
  6. Step 6: Final answer
    x = 218,030.93

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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.