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Finding the Fourth Proportional to 114,136, 171,281.76 and 40,264

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Solution

The fourth proportional to 114,136, 171,281.76 and 40,264 is: 60,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,136 : 171,281.76 = 40,264 : x
  2. Step 2: Convert to fraction form
    114,136/171,281.76 = 40,264/x
  3. Step 3: Cross multiply
    114,136x = 171,281.76 × 40,264
  4. Step 4: Simplify right side
    114,136x = 6,896,488,784.64
  5. Step 5: Solve for x
    x = 6,896,488,784.64/114,136
  6. Step 6: Final answer
    x = 60,423.43

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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.