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Finding the Fourth Proportional to 212,924.46, 293,825.16 and 117,425.46

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Solution

The fourth proportional to 212,924.46, 293,825.16 and 117,425.46 is: 162,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,924.46 : 293,825.16 = 117,425.46 : x
  2. Step 2: Convert to fraction form
    212,924.46/293,825.16 = 117,425.46/x
  3. Step 3: Cross multiply
    212,924.46x = 293,825.16 × 117,425.46
  4. Step 4: Simplify right side
    212,924.46x = 34,502,554,572.57
  5. Step 5: Solve for x
    x = 34,502,554,572.57/212,924.46
  6. Step 6: Final answer
    x = 162,041.29

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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.