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Finding the Fourth Proportional to 209,480.37, 314,216.29 and 51,710.19

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Solution

The fourth proportional to 209,480.37, 314,216.29 and 51,710.19 is: 77,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,480.37 : 314,216.29 = 51,710.19 : x
  2. Step 2: Convert to fraction form
    209,480.37/314,216.29 = 51,710.19/x
  3. Step 3: Cross multiply
    209,480.37x = 314,216.29 × 51,710.19
  4. Step 4: Simplify right side
    209,480.37x = 16,248,184,057.00
  5. Step 5: Solve for x
    x = 16,248,184,057.00/209,480.37
  6. Step 6: Final answer
    x = 77,564.23

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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.