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Finding the Fourth Proportional to 233,513.60, 322,256.72 and 138,102.08

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Solution

The fourth proportional to 233,513.60, 322,256.72 and 138,102.08 is: 190,585.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,513.60 : 322,256.72 = 138,102.08 : x
  2. Step 2: Convert to fraction form
    233,513.60/322,256.72 = 138,102.08/x
  3. Step 3: Cross multiply
    233,513.60x = 322,256.72 × 138,102.08
  4. Step 4: Simplify right side
    233,513.60x = 44,504,323,325.98
  5. Step 5: Solve for x
    x = 44,504,323,325.98/233,513.60
  6. Step 6: Final answer
    x = 190,585.57

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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.