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Finding the Fourth Proportional to 176,765, 243,935.74 and 97,277

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Solution

The fourth proportional to 176,765, 243,935.74 and 97,277 is: 134,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,765 : 243,935.74 = 97,277 : x
  2. Step 2: Convert to fraction form
    176,765/243,935.74 = 97,277/x
  3. Step 3: Cross multiply
    176,765x = 243,935.74 × 97,277
  4. Step 4: Simplify right side
    176,765x = 23,729,336,979.98
  5. Step 5: Solve for x
    x = 23,729,336,979.98/176,765
  6. Step 6: Final answer
    x = 134,242.28

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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.