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Finding the Fourth Proportional to 147,442.96, 203,475.59 and 83,783.44

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Solution

The fourth proportional to 147,442.96, 203,475.59 and 83,783.44 is: 115,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,442.96 : 203,475.59 = 83,783.44 : x
  2. Step 2: Convert to fraction form
    147,442.96/203,475.59 = 83,783.44/x
  3. Step 3: Cross multiply
    147,442.96x = 203,475.59 × 83,783.44
  4. Step 4: Simplify right side
    147,442.96x = 17,047,884,886.23
  5. Step 5: Solve for x
    x = 17,047,884,886.23/147,442.96
  6. Step 6: Final answer
    x = 115,623.59

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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.