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Finding the Fourth Proportional to 209,406.68, 288,985.90 and 113,918.52

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Solution

The fourth proportional to 209,406.68, 288,985.90 and 113,918.52 is: 157,210.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406.68 : 288,985.90 = 113,918.52 : x
  2. Step 2: Convert to fraction form
    209,406.68/288,985.90 = 113,918.52/x
  3. Step 3: Cross multiply
    209,406.68x = 288,985.90 × 113,918.52
  4. Step 4: Simplify right side
    209,406.68x = 32,920,846,028.87
  5. Step 5: Solve for x
    x = 32,920,846,028.87/209,406.68
  6. Step 6: Final answer
    x = 157,210.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.