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Finding the Fourth Proportional to 210,206.60, 314,849.10 and 182,558.60

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Solution

The fourth proportional to 210,206.60, 314,849.10 and 182,558.60 is: 273,437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,206.60 : 314,849.10 = 182,558.60 : x
  2. Step 2: Convert to fraction form
    210,206.60/314,849.10 = 182,558.60/x
  3. Step 3: Cross multiply
    210,206.60x = 314,849.10 × 182,558.60
  4. Step 4: Simplify right side
    210,206.60x = 57,478,410,907.26
  5. Step 5: Solve for x
    x = 57,478,410,907.26/210,206.60
  6. Step 6: Final answer
    x = 273,437.71

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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.