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Finding the Fourth Proportional to 209,506.96, 314,125.22 and 89,642.14

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Solution

The fourth proportional to 209,506.96, 314,125.22 and 89,642.14 is: 134,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,506.96 : 314,125.22 = 89,642.14 : x
  2. Step 2: Convert to fraction form
    209,506.96/314,125.22 = 89,642.14/x
  3. Step 3: Cross multiply
    209,506.96x = 314,125.22 × 89,642.14
  4. Step 4: Simplify right side
    209,506.96x = 28,158,856,948.77
  5. Step 5: Solve for x
    x = 28,158,856,948.77/209,506.96
  6. Step 6: Final answer
    x = 134,405.35

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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.