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Finding the Fourth Proportional to 123,537.36, 170,477.40 and 72,549.12

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Solution

The fourth proportional to 123,537.36, 170,477.40 and 72,549.12 is: 100,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,537.36 : 170,477.40 = 72,549.12 : x
  2. Step 2: Convert to fraction form
    123,537.36/170,477.40 = 72,549.12/x
  3. Step 3: Cross multiply
    123,537.36x = 170,477.40 × 72,549.12
  4. Step 4: Simplify right side
    123,537.36x = 12,367,985,349.89
  5. Step 5: Solve for x
    x = 12,367,985,349.89/123,537.36
  6. Step 6: Final answer
    x = 100,115.34

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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.