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Finding the Fourth Proportional to 172,687.12, 238,312.68 and 97,238.32

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Solution

The fourth proportional to 172,687.12, 238,312.68 and 97,238.32 is: 134,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,687.12 : 238,312.68 = 97,238.32 : x
  2. Step 2: Convert to fraction form
    172,687.12/238,312.68 = 97,238.32/x
  3. Step 3: Cross multiply
    172,687.12x = 238,312.68 × 97,238.32
  4. Step 4: Simplify right side
    172,687.12x = 23,173,124,637.90
  5. Step 5: Solve for x
    x = 23,173,124,637.90/172,687.12
  6. Step 6: Final answer
    x = 134,191.39

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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.