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Finding the Fourth Proportional to 153,195.30, 211,406.45 and 85,210.81

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Solution

The fourth proportional to 153,195.30, 211,406.45 and 85,210.81 is: 117,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195.30 : 211,406.45 = 85,210.81 : x
  2. Step 2: Convert to fraction form
    153,195.30/211,406.45 = 85,210.81/x
  3. Step 3: Cross multiply
    153,195.30x = 211,406.45 × 85,210.81
  4. Step 4: Simplify right side
    153,195.30x = 18,014,113,889.15
  5. Step 5: Solve for x
    x = 18,014,113,889.15/153,195.30
  6. Step 6: Final answer
    x = 117,589.21

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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.