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Finding the Fourth Proportional to 153,668, 212,061.88 and 83,012

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Solution

The fourth proportional to 153,668, 212,061.88 and 83,012 is: 114,556.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,668 : 212,061.88 = 83,012 : x
  2. Step 2: Convert to fraction form
    153,668/212,061.88 = 83,012/x
  3. Step 3: Cross multiply
    153,668x = 212,061.88 × 83,012
  4. Step 4: Simplify right side
    153,668x = 17,603,680,782.56
  5. Step 5: Solve for x
    x = 17,603,680,782.56/153,668
  6. Step 6: Final answer
    x = 114,556.58

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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.