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Finding the Fourth Proportional to 209,994.63, 314,641.31 and 147,553.35

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Solution

The fourth proportional to 209,994.63, 314,641.31 and 147,553.35 is: 221,083.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,994.63 : 314,641.31 = 147,553.35 : x
  2. Step 2: Convert to fraction form
    209,994.63/314,641.31 = 147,553.35/x
  3. Step 3: Cross multiply
    209,994.63x = 314,641.31 × 147,553.35
  4. Step 4: Simplify right side
    209,994.63x = 46,426,378,601.12
  5. Step 5: Solve for x
    x = 46,426,378,601.12/209,994.63
  6. Step 6: Final answer
    x = 221,083.65

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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.