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Finding the Fourth Proportional to 213,061.32, 293,913.90 and 172,820.52

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Solution

The fourth proportional to 213,061.32, 293,913.90 and 172,820.52 is: 238,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,061.32 : 293,913.90 = 172,820.52 : x
  2. Step 2: Convert to fraction form
    213,061.32/293,913.90 = 172,820.52/x
  3. Step 3: Cross multiply
    213,061.32x = 293,913.90 × 172,820.52
  4. Step 4: Simplify right side
    213,061.32x = 50,794,353,033.23
  5. Step 5: Solve for x
    x = 50,794,353,033.23/213,061.32
  6. Step 6: Final answer
    x = 238,402.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.