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Finding the Fourth Proportional to 176,571.40, 264,857.10 and 97,839.40

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Solution

The fourth proportional to 176,571.40, 264,857.10 and 97,839.40 is: 146,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,571.40 : 264,857.10 = 97,839.40 : x
  2. Step 2: Convert to fraction form
    176,571.40/264,857.10 = 97,839.40/x
  3. Step 3: Cross multiply
    176,571.40x = 264,857.10 × 97,839.40
  4. Step 4: Simplify right side
    176,571.40x = 25,913,459,749.74
  5. Step 5: Solve for x
    x = 25,913,459,749.74/176,571.40
  6. Step 6: Final answer
    x = 146,759.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.