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Finding the Fourth Proportional to 209,873.64, 314,705.52 and 124,571.64

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Solution

The fourth proportional to 209,873.64, 314,705.52 and 124,571.64 is: 186,795.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,873.64 : 314,705.52 = 124,571.64 : x
  2. Step 2: Convert to fraction form
    209,873.64/314,705.52 = 124,571.64/x
  3. Step 3: Cross multiply
    209,873.64x = 314,705.52 × 124,571.64
  4. Step 4: Simplify right side
    209,873.64x = 39,203,382,743.45
  5. Step 5: Solve for x
    x = 39,203,382,743.45/209,873.64
  6. Step 6: Final answer
    x = 186,795.17

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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.