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Finding the Fourth Proportional to 214,639.61, 296,187.84 and 119,138.78

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Solution

The fourth proportional to 214,639.61, 296,187.84 and 119,138.78 is: 164,403.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,639.61 : 296,187.84 = 119,138.78 : x
  2. Step 2: Convert to fraction form
    214,639.61/296,187.84 = 119,138.78/x
  3. Step 3: Cross multiply
    214,639.61x = 296,187.84 × 119,138.78
  4. Step 4: Simplify right side
    214,639.61x = 35,287,457,312.74
  5. Step 5: Solve for x
    x = 35,287,457,312.74/214,639.61
  6. Step 6: Final answer
    x = 164,403.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.