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Finding the Fourth Proportional to 212,702.14, 318,752.43 and 117,974.06

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Solution

The fourth proportional to 212,702.14, 318,752.43 and 117,974.06 is: 176,794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,702.14 : 318,752.43 = 117,974.06 : x
  2. Step 2: Convert to fraction form
    212,702.14/318,752.43 = 117,974.06/x
  3. Step 3: Cross multiply
    212,702.14x = 318,752.43 × 117,974.06
  4. Step 4: Simplify right side
    212,702.14x = 37,604,518,301.97
  5. Step 5: Solve for x
    x = 37,604,518,301.97/212,702.14
  6. Step 6: Final answer
    x = 176,794.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.