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Finding the Fourth Proportional to 143,152.14, 214,788.96 and 76,575

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Solution

The fourth proportional to 143,152.14, 214,788.96 and 76,575 is: 114,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,152.14 : 214,788.96 = 76,575 : x
  2. Step 2: Convert to fraction form
    143,152.14/214,788.96 = 76,575/x
  3. Step 3: Cross multiply
    143,152.14x = 214,788.96 × 76,575
  4. Step 4: Simplify right side
    143,152.14x = 16,447,464,612
  5. Step 5: Solve for x
    x = 16,447,464,612/143,152.14
  6. Step 6: Final answer
    x = 114,895.00

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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.