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Finding the Fourth Proportional to 314,014.85, 471,027.68 and 89,381.06

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Solution

The fourth proportional to 314,014.85, 471,027.68 and 89,381.06 is: 134,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,014.85 : 471,027.68 = 89,381.06 : x
  2. Step 2: Convert to fraction form
    314,014.85/471,027.68 = 89,381.06/x
  3. Step 3: Cross multiply
    314,014.85x = 471,027.68 × 89,381.06
  4. Step 4: Simplify right side
    314,014.85x = 42,100,953,327.74
  5. Step 5: Solve for x
    x = 42,100,953,327.74/314,014.85
  6. Step 6: Final answer
    x = 134,073.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.