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Finding the Fourth Proportional to 209,802.41, 314,978.02 and 124,568.87

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Solution

The fourth proportional to 209,802.41, 314,978.02 and 124,568.87 is: 187,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,802.41 : 314,978.02 = 124,568.87 : x
  2. Step 2: Convert to fraction form
    209,802.41/314,978.02 = 124,568.87/x
  3. Step 3: Cross multiply
    209,802.41x = 314,978.02 × 124,568.87
  4. Step 4: Simplify right side
    209,802.41x = 39,236,456,026.24
  5. Step 5: Solve for x
    x = 39,236,456,026.24/209,802.41
  6. Step 6: Final answer
    x = 187,016.23

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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.