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Finding the Fourth Proportional to 214,756.58, 296,373.03 and 119,264.06

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Solution

The fourth proportional to 214,756.58, 296,373.03 and 119,264.06 is: 164,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,756.58 : 296,373.03 = 119,264.06 : x
  2. Step 2: Convert to fraction form
    214,756.58/296,373.03 = 119,264.06/x
  3. Step 3: Cross multiply
    214,756.58x = 296,373.03 × 119,264.06
  4. Step 4: Simplify right side
    214,756.58x = 35,346,651,125.99
  5. Step 5: Solve for x
    x = 35,346,651,125.99/214,756.58
  6. Step 6: Final answer
    x = 164,589.37

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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.