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Finding the Fourth Proportional to 147,324, 203,307.36 and 80,256

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Solution

The fourth proportional to 147,324, 203,307.36 and 80,256 is: 110,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,324 : 203,307.36 = 80,256 : x
  2. Step 2: Convert to fraction form
    147,324/203,307.36 = 80,256/x
  3. Step 3: Cross multiply
    147,324x = 203,307.36 × 80,256
  4. Step 4: Simplify right side
    147,324x = 16,316,635,484.16
  5. Step 5: Solve for x
    x = 16,316,635,484.16/147,324
  6. Step 6: Final answer
    x = 110,753.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.