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Finding the Fourth Proportional to 214,520.84, 296,038.76 and 119,028.22

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Solution

The fourth proportional to 214,520.84, 296,038.76 and 119,028.22 is: 164,258.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,520.84 : 296,038.76 = 119,028.22 : x
  2. Step 2: Convert to fraction form
    214,520.84/296,038.76 = 119,028.22/x
  3. Step 3: Cross multiply
    214,520.84x = 296,038.76 × 119,028.22
  4. Step 4: Simplify right side
    214,520.84x = 35,236,966,653.81
  5. Step 5: Solve for x
    x = 35,236,966,653.81/214,520.84
  6. Step 6: Final answer
    x = 164,258.94

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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.