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Finding the Fourth Proportional to 214,210.61, 319,400.81 and 208,325.31

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Solution

The fourth proportional to 214,210.61, 319,400.81 and 208,325.31 is: 310,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,210.61 : 319,400.81 = 208,325.31 : x
  2. Step 2: Convert to fraction form
    214,210.61/319,400.81 = 208,325.31/x
  3. Step 3: Cross multiply
    214,210.61x = 319,400.81 × 208,325.31
  4. Step 4: Simplify right side
    214,210.61x = 66,539,274,085.46
  5. Step 5: Solve for x
    x = 66,539,274,085.46/214,210.61
  6. Step 6: Final answer
    x = 310,625.49

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Why These Related Problems?

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