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Finding the Fourth Proportional to 233,032.08, 321,598.32 and 132,430.08

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Solution

The fourth proportional to 233,032.08, 321,598.32 and 132,430.08 is: 182,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,032.08 : 321,598.32 = 132,430.08 : x
  2. Step 2: Convert to fraction form
    233,032.08/321,598.32 = 132,430.08/x
  3. Step 3: Cross multiply
    233,032.08x = 321,598.32 × 132,430.08
  4. Step 4: Simplify right side
    233,032.08x = 42,589,291,245.47
  5. Step 5: Solve for x
    x = 42,589,291,245.47/233,032.08
  6. Step 6: Final answer
    x = 182,761.49

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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.