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Finding the Fourth Proportional to 176,510, 243,583.80 and 97,022

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Solution

The fourth proportional to 176,510, 243,583.80 and 97,022 is: 133,890.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,510 : 243,583.80 = 97,022 : x
  2. Step 2: Convert to fraction form
    176,510/243,583.80 = 97,022/x
  3. Step 3: Cross multiply
    176,510x = 243,583.80 × 97,022
  4. Step 4: Simplify right side
    176,510x = 23,632,987,443.60
  5. Step 5: Solve for x
    x = 23,632,987,443.60/176,510
  6. Step 6: Final answer
    x = 133,890.36

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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.