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Finding the Fourth Proportional to 176,508.50, 243,581.73 and 97,020.50

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Solution

The fourth proportional to 176,508.50, 243,581.73 and 97,020.50 is: 133,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,508.50 : 243,581.73 = 97,020.50 : x
  2. Step 2: Convert to fraction form
    176,508.50/243,581.73 = 97,020.50/x
  3. Step 3: Cross multiply
    176,508.50x = 243,581.73 × 97,020.50
  4. Step 4: Simplify right side
    176,508.50x = 23,632,421,235.47
  5. Step 5: Solve for x
    x = 23,632,421,235.47/176,508.50
  6. Step 6: Final answer
    x = 133,888.29

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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.