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Finding the Fourth Proportional to 172,784.36, 238,441.38 and 97,357.16

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Solution

The fourth proportional to 172,784.36, 238,441.38 and 97,357.16 is: 134,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,784.36 : 238,441.38 = 97,357.16 : x
  2. Step 2: Convert to fraction form
    172,784.36/238,441.38 = 97,357.16/x
  3. Step 3: Cross multiply
    172,784.36x = 238,441.38 × 97,357.16
  4. Step 4: Simplify right side
    172,784.36x = 23,213,975,583.28
  5. Step 5: Solve for x
    x = 23,213,975,583.28/172,784.36
  6. Step 6: Final answer
    x = 134,352.30

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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.