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Finding the Fourth Proportional to 146,199.30, 201,756.70 and 85,770.98

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Solution

The fourth proportional to 146,199.30, 201,756.70 and 85,770.98 is: 118,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,199.30 : 201,756.70 = 85,770.98 : x
  2. Step 2: Convert to fraction form
    146,199.30/201,756.70 = 85,770.98/x
  3. Step 3: Cross multiply
    146,199.30x = 201,756.70 × 85,770.98
  4. Step 4: Simplify right side
    146,199.30x = 17,304,869,880.57
  5. Step 5: Solve for x
    x = 17,304,869,880.57/146,199.30
  6. Step 6: Final answer
    x = 118,364.93

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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.