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Finding the Fourth Proportional to 106,144.95, 159,242.03 and 46,981.14

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Solution

The fourth proportional to 106,144.95, 159,242.03 and 46,981.14 is: 70,482.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.95 : 159,242.03 = 46,981.14 : x
  2. Step 2: Convert to fraction form
    106,144.95/159,242.03 = 46,981.14/x
  3. Step 3: Cross multiply
    106,144.95x = 159,242.03 × 46,981.14
  4. Step 4: Simplify right side
    106,144.95x = 7,481,372,105.31
  5. Step 5: Solve for x
    x = 7,481,372,105.31/106,144.95
  6. Step 6: Final answer
    x = 70,482.60

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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.