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Finding the Fourth Proportional to 210,466.90, 290,440.66 and 114,971.14

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Solution

The fourth proportional to 210,466.90, 290,440.66 and 114,971.14 is: 158,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,466.90 : 290,440.66 = 114,971.14 : x
  2. Step 2: Convert to fraction form
    210,466.90/290,440.66 = 114,971.14/x
  3. Step 3: Cross multiply
    210,466.90x = 290,440.66 × 114,971.14
  4. Step 4: Simplify right side
    210,466.90x = 33,392,293,782.55
  5. Step 5: Solve for x
    x = 33,392,293,782.55/210,466.90
  6. Step 6: Final answer
    x = 158,658.17

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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.