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Finding the Fourth Proportional to 214,930.16, 296,594.64 and 119,436

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Solution

The fourth proportional to 214,930.16, 296,594.64 and 119,436 is: 164,816.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,930.16 : 296,594.64 = 119,436 : x
  2. Step 2: Convert to fraction form
    214,930.16/296,594.64 = 119,436/x
  3. Step 3: Cross multiply
    214,930.16x = 296,594.64 × 119,436
  4. Step 4: Simplify right side
    214,930.16x = 35,424,077,423.04
  5. Step 5: Solve for x
    x = 35,424,077,423.04/214,930.16
  6. Step 6: Final answer
    x = 164,816.69

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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.