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Finding the Fourth Proportional to 212,569, 293,358.52 and 117,075.66

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Solution

The fourth proportional to 212,569, 293,358.52 and 117,075.66 is: 161,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,569 : 293,358.52 = 117,075.66 : x
  2. Step 2: Convert to fraction form
    212,569/293,358.52 = 117,075.66/x
  3. Step 3: Cross multiply
    212,569x = 293,358.52 × 117,075.66
  4. Step 4: Simplify right side
    212,569x = 34,345,142,345.62
  5. Step 5: Solve for x
    x = 34,345,142,345.62/212,569
  6. Step 6: Final answer
    x = 161,571.74

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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.