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Finding the Fourth Proportional to 197,232, 272,180.16 and 107,808

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Solution

The fourth proportional to 197,232, 272,180.16 and 107,808 is: 148,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,232 : 272,180.16 = 107,808 : x
  2. Step 2: Convert to fraction form
    197,232/272,180.16 = 107,808/x
  3. Step 3: Cross multiply
    197,232x = 272,180.16 × 107,808
  4. Step 4: Simplify right side
    197,232x = 29,343,198,689.28
  5. Step 5: Solve for x
    x = 29,343,198,689.28/197,232
  6. Step 6: Final answer
    x = 148,775.04

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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.