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Finding the Fourth Proportional to 209,807.96, 314,986.28 and 124,574.36

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Solution

The fourth proportional to 209,807.96, 314,986.28 and 124,574.36 is: 187,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,807.96 : 314,986.28 = 124,574.36 : x
  2. Step 2: Convert to fraction form
    209,807.96/314,986.28 = 124,574.36/x
  3. Step 3: Cross multiply
    209,807.96x = 314,986.28 × 124,574.36
  4. Step 4: Simplify right side
    209,807.96x = 39,239,212,041.98
  5. Step 5: Solve for x
    x = 39,239,212,041.98/209,807.96
  6. Step 6: Final answer
    x = 187,024.42

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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.