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Finding the Fourth Proportional to 210,046.26, 314,967.06 and 69,757.50

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Solution

The fourth proportional to 210,046.26, 314,967.06 and 69,757.50 is: 104,602.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,046.26 : 314,967.06 = 69,757.50 : x
  2. Step 2: Convert to fraction form
    210,046.26/314,967.06 = 69,757.50/x
  3. Step 3: Cross multiply
    210,046.26x = 314,967.06 × 69,757.50
  4. Step 4: Simplify right side
    210,046.26x = 21,971,314,687.95
  5. Step 5: Solve for x
    x = 21,971,314,687.95/210,046.26
  6. Step 6: Final answer
    x = 104,602.27

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