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Finding the Fourth Proportional to 106,954.59, 147,598.05 and 59,206.89

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Solution

The fourth proportional to 106,954.59, 147,598.05 and 59,206.89 is: 81,705.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,954.59 : 147,598.05 = 59,206.89 : x
  2. Step 2: Convert to fraction form
    106,954.59/147,598.05 = 59,206.89/x
  3. Step 3: Cross multiply
    106,954.59x = 147,598.05 × 59,206.89
  4. Step 4: Simplify right side
    106,954.59x = 8,738,821,510.56
  5. Step 5: Solve for x
    x = 8,738,821,510.56/106,954.59
  6. Step 6: Final answer
    x = 81,705.90

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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.