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Finding the Fourth Proportional to 115,051.98, 171,771 and 97,342.14

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Solution

The fourth proportional to 115,051.98, 171,771 and 97,342.14 is: 145,330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,051.98 : 171,771 = 97,342.14 : x
  2. Step 2: Convert to fraction form
    115,051.98/171,771 = 97,342.14/x
  3. Step 3: Cross multiply
    115,051.98x = 171,771 × 97,342.14
  4. Step 4: Simplify right side
    115,051.98x = 16,720,556,729.94
  5. Step 5: Solve for x
    x = 16,720,556,729.94/115,051.98
  6. Step 6: Final answer
    x = 145,330.46

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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.