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Finding the Fourth Proportional to 192,946.59, 266,181.47 and 116,423

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Solution

The fourth proportional to 192,946.59, 266,181.47 and 116,423 is: 160,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,946.59 : 266,181.47 = 116,423 : x
  2. Step 2: Convert to fraction form
    192,946.59/266,181.47 = 116,423/x
  3. Step 3: Cross multiply
    192,946.59x = 266,181.47 × 116,423
  4. Step 4: Simplify right side
    192,946.59x = 30,989,645,281.81
  5. Step 5: Solve for x
    x = 30,989,645,281.81/192,946.59
  6. Step 6: Final answer
    x = 160,612.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.