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Finding the Fourth Proportional to 214,482.19, 296,020.83 and 119,019.64

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Solution

The fourth proportional to 214,482.19, 296,020.83 and 119,019.64 is: 164,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,482.19 : 296,020.83 = 119,019.64 : x
  2. Step 2: Convert to fraction form
    214,482.19/296,020.83 = 119,019.64/x
  3. Step 3: Cross multiply
    214,482.19x = 296,020.83 × 119,019.64
  4. Step 4: Simplify right side
    214,482.19x = 35,232,292,619.10
  5. Step 5: Solve for x
    x = 35,232,292,619.10/214,482.19
  6. Step 6: Final answer
    x = 164,266.75

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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.