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Finding the Fourth Proportional to 190,472.42, 285,706.20 and 64,140.50

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Solution

The fourth proportional to 190,472.42, 285,706.20 and 64,140.50 is: 96,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.42 : 285,706.20 = 64,140.50 : x
  2. Step 2: Convert to fraction form
    190,472.42/285,706.20 = 64,140.50/x
  3. Step 3: Cross multiply
    190,472.42x = 285,706.20 × 64,140.50
  4. Step 4: Simplify right side
    190,472.42x = 18,325,338,521.10
  5. Step 5: Solve for x
    x = 18,325,338,521.10/190,472.42
  6. Step 6: Final answer
    x = 96,209.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.