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Finding the Fourth Proportional to 176,509.50, 243,583.11 and 97,021.50

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Solution

The fourth proportional to 176,509.50, 243,583.11 and 97,021.50 is: 133,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,509.50 : 243,583.11 = 97,021.50 : x
  2. Step 2: Convert to fraction form
    176,509.50/243,583.11 = 97,021.50/x
  3. Step 3: Cross multiply
    176,509.50x = 243,583.11 × 97,021.50
  4. Step 4: Simplify right side
    176,509.50x = 23,632,798,706.87
  5. Step 5: Solve for x
    x = 23,632,798,706.87/176,509.50
  6. Step 6: Final answer
    x = 133,889.67

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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.