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Finding the Fourth Proportional to 147,784, 203,941.92 and 94,884.16

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Solution

The fourth proportional to 147,784, 203,941.92 and 94,884.16 is: 130,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,784 : 203,941.92 = 94,884.16 : x
  2. Step 2: Convert to fraction form
    147,784/203,941.92 = 94,884.16/x
  3. Step 3: Cross multiply
    147,784x = 203,941.92 × 94,884.16
  4. Step 4: Simplify right side
    147,784x = 19,350,857,767.99
  5. Step 5: Solve for x
    x = 19,350,857,767.99/147,784
  6. Step 6: Final answer
    x = 130,940.14

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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.