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Finding the Fourth Proportional to 214,221.84, 319,417.53 and 208,336.56

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Solution

The fourth proportional to 214,221.84, 319,417.53 and 208,336.56 is: 310,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,221.84 : 319,417.53 = 208,336.56 : x
  2. Step 2: Convert to fraction form
    214,221.84/319,417.53 = 208,336.56/x
  3. Step 3: Cross multiply
    214,221.84x = 319,417.53 × 208,336.56
  4. Step 4: Simplify right side
    214,221.84x = 66,546,349,403.90
  5. Step 5: Solve for x
    x = 66,546,349,403.90/214,221.84
  6. Step 6: Final answer
    x = 310,642.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.