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Finding the Fourth Proportional to 176,463, 243,518.94 and 96,975

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Solution

The fourth proportional to 176,463, 243,518.94 and 96,975 is: 133,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,463 : 243,518.94 = 96,975 : x
  2. Step 2: Convert to fraction form
    176,463/243,518.94 = 96,975/x
  3. Step 3: Cross multiply
    176,463x = 243,518.94 × 96,975
  4. Step 4: Simplify right side
    176,463x = 23,615,249,206.50
  5. Step 5: Solve for x
    x = 23,615,249,206.50/176,463
  6. Step 6: Final answer
    x = 133,825.50

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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.