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Finding the Fourth Proportional to 157,097.56, 236,040 and 147,649.72

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Solution

The fourth proportional to 157,097.56, 236,040 and 147,649.72 is: 221,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,097.56 : 236,040 = 147,649.72 : x
  2. Step 2: Convert to fraction form
    157,097.56/236,040 = 147,649.72/x
  3. Step 3: Cross multiply
    157,097.56x = 236,040 × 147,649.72
  4. Step 4: Simplify right side
    157,097.56x = 34,851,239,908.80
  5. Step 5: Solve for x
    x = 34,851,239,908.80/157,097.56
  6. Step 6: Final answer
    x = 221,844.57

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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.