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Finding the Fourth Proportional to 214,706.46, 296,285.94 and 119,207.46

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Solution

The fourth proportional to 214,706.46, 296,285.94 and 119,207.46 is: 164,501.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,706.46 : 296,285.94 = 119,207.46 : x
  2. Step 2: Convert to fraction form
    214,706.46/296,285.94 = 119,207.46/x
  3. Step 3: Cross multiply
    214,706.46x = 296,285.94 × 119,207.46
  4. Step 4: Simplify right side
    214,706.46x = 35,319,494,341.11
  5. Step 5: Solve for x
    x = 35,319,494,341.11/214,706.46
  6. Step 6: Final answer
    x = 164,501.31

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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.