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Finding the Fourth Proportional to 214,482.54, 296,021.38 and 119,019.98

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Solution

The fourth proportional to 214,482.54, 296,021.38 and 119,019.98 is: 164,267.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.54 : 296,021.38 = 119,019.98 : x
  2. Step 2: Convert to fraction form
    214,482.54/296,021.38 = 119,019.98/x
  3. Step 3: Cross multiply
    214,482.54x = 296,021.38 × 119,019.98
  4. Step 4: Simplify right side
    214,482.54x = 35,232,458,727.17
  5. Step 5: Solve for x
    x = 35,232,458,727.17/214,482.54
  6. Step 6: Final answer
    x = 164,267.26

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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.