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Finding the Fourth Proportional to 157,266.78, 235,783.17 and 141,425.34

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Solution

The fourth proportional to 157,266.78, 235,783.17 and 141,425.34 is: 212,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,266.78 : 235,783.17 = 141,425.34 : x
  2. Step 2: Convert to fraction form
    157,266.78/235,783.17 = 141,425.34/x
  3. Step 3: Cross multiply
    157,266.78x = 235,783.17 × 141,425.34
  4. Step 4: Simplify right side
    157,266.78x = 33,345,714,983.53
  5. Step 5: Solve for x
    x = 33,345,714,983.53/157,266.78
  6. Step 6: Final answer
    x = 212,032.80

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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.