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Finding the Fourth Proportional to 209,993.13, 314,639.06 and 147,551.85

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Solution

The fourth proportional to 209,993.13, 314,639.06 and 147,551.85 is: 221,081.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,993.13 : 314,639.06 = 147,551.85 : x
  2. Step 2: Convert to fraction form
    209,993.13/314,639.06 = 147,551.85/x
  3. Step 3: Cross multiply
    209,993.13x = 314,639.06 × 147,551.85
  4. Step 4: Simplify right side
    209,993.13x = 46,425,574,647.50
  5. Step 5: Solve for x
    x = 46,425,574,647.50/209,993.13
  6. Step 6: Final answer
    x = 221,081.40

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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.