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Finding the Fourth Proportional to 164,719, 227,312.42 and 89,267.50

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Solution

The fourth proportional to 164,719, 227,312.42 and 89,267.50 is: 123,189.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,719 : 227,312.42 = 89,267.50 : x
  2. Step 2: Convert to fraction form
    164,719/227,312.42 = 89,267.50/x
  3. Step 3: Cross multiply
    164,719x = 227,312.42 × 89,267.50
  4. Step 4: Simplify right side
    164,719x = 20,291,611,452.35
  5. Step 5: Solve for x
    x = 20,291,611,452.35/164,719
  6. Step 6: Final answer
    x = 123,189.26

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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.