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Finding the Fourth Proportional to 292,139.60, 438,234.49 and 102,583.67

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Solution

The fourth proportional to 292,139.60, 438,234.49 and 102,583.67 is: 153,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,139.60 : 438,234.49 = 102,583.67 : x
  2. Step 2: Convert to fraction form
    292,139.60/438,234.49 = 102,583.67/x
  3. Step 3: Cross multiply
    292,139.60x = 438,234.49 × 102,583.67
  4. Step 4: Simplify right side
    292,139.60x = 44,955,701,791.86
  5. Step 5: Solve for x
    x = 44,955,701,791.86/292,139.60
  6. Step 6: Final answer
    x = 153,884.31

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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.