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Finding the Fourth Proportional to 214,925.70, 322,388.55 and 188,681.70

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Solution

The fourth proportional to 214,925.70, 322,388.55 and 188,681.70 is: 283,022.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,925.70 : 322,388.55 = 188,681.70 : x
  2. Step 2: Convert to fraction form
    214,925.70/322,388.55 = 188,681.70/x
  3. Step 3: Cross multiply
    214,925.70x = 322,388.55 × 188,681.70
  4. Step 4: Simplify right side
    214,925.70x = 60,828,819,674.54
  5. Step 5: Solve for x
    x = 60,828,819,674.54/214,925.70
  6. Step 6: Final answer
    x = 283,022.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.