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Finding the Fourth Proportional to 210,970.88, 316,459.56 and 68,815.52

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Solution

The fourth proportional to 210,970.88, 316,459.56 and 68,815.52 is: 103,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.88 : 316,459.56 = 68,815.52 : x
  2. Step 2: Convert to fraction form
    210,970.88/316,459.56 = 68,815.52/x
  3. Step 3: Cross multiply
    210,970.88x = 316,459.56 × 68,815.52
  4. Step 4: Simplify right side
    210,970.88x = 21,777,329,180.37
  5. Step 5: Solve for x
    x = 21,777,329,180.37/210,970.88
  6. Step 6: Final answer
    x = 103,224.34

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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.