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Finding the Fourth Proportional to 209,855.81, 289,601.12 and 114,362.48

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Solution

The fourth proportional to 209,855.81, 289,601.12 and 114,362.48 is: 157,820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,855.81 : 289,601.12 = 114,362.48 : x
  2. Step 2: Convert to fraction form
    209,855.81/289,601.12 = 114,362.48/x
  3. Step 3: Cross multiply
    209,855.81x = 289,601.12 × 114,362.48
  4. Step 4: Simplify right side
    209,855.81x = 33,119,503,303.89
  5. Step 5: Solve for x
    x = 33,119,503,303.89/209,855.81
  6. Step 6: Final answer
    x = 157,820.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.