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Finding the Fourth Proportional to 209,858.01, 314,848.44 and 67,700.58

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Solution

The fourth proportional to 209,858.01, 314,848.44 and 67,700.58 is: 101,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.01 : 314,848.44 = 67,700.58 : x
  2. Step 2: Convert to fraction form
    209,858.01/314,848.44 = 67,700.58/x
  3. Step 3: Cross multiply
    209,858.01x = 314,848.44 × 67,700.58
  4. Step 4: Simplify right side
    209,858.01x = 21,315,422,000.10
  5. Step 5: Solve for x
    x = 21,315,422,000.10/209,858.01
  6. Step 6: Final answer
    x = 101,570.69

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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.