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Finding the Fourth Proportional to 214,657.62, 296,212.66 and 119,156.77

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Solution

The fourth proportional to 214,657.62, 296,212.66 and 119,156.77 is: 164,428.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,657.62 : 296,212.66 = 119,156.77 : x
  2. Step 2: Convert to fraction form
    214,657.62/296,212.66 = 119,156.77/x
  3. Step 3: Cross multiply
    214,657.62x = 296,212.66 × 119,156.77
  4. Step 4: Simplify right side
    214,657.62x = 35,295,743,798.71
  5. Step 5: Solve for x
    x = 35,295,743,798.71/214,657.62
  6. Step 6: Final answer
    x = 164,428.10

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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.