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Finding the Fourth Proportional to 209,619, 314,430.93 and 51,848.82

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Solution

The fourth proportional to 209,619, 314,430.93 and 51,848.82 is: 77,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,619 : 314,430.93 = 51,848.82 : x
  2. Step 2: Convert to fraction form
    209,619/314,430.93 = 51,848.82/x
  3. Step 3: Cross multiply
    209,619x = 314,430.93 × 51,848.82
  4. Step 4: Simplify right side
    209,619x = 16,302,872,692.00
  5. Step 5: Solve for x
    x = 16,302,872,692.00/209,619
  6. Step 6: Final answer
    x = 77,773.83

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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.