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Finding the Fourth Proportional to 178,480.67, 267,802.74 and 77,309.67

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Solution

The fourth proportional to 178,480.67, 267,802.74 and 77,309.67 is: 115,999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,480.67 : 267,802.74 = 77,309.67 : x
  2. Step 2: Convert to fraction form
    178,480.67/267,802.74 = 77,309.67/x
  3. Step 3: Cross multiply
    178,480.67x = 267,802.74 × 77,309.67
  4. Step 4: Simplify right side
    178,480.67x = 20,703,742,458.76
  5. Step 5: Solve for x
    x = 20,703,742,458.76/178,480.67
  6. Step 6: Final answer
    x = 115,999.92

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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.