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Finding the Fourth Proportional to 231,407.28, 319,333.32 and 130,807.44

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Solution

The fourth proportional to 231,407.28, 319,333.32 and 130,807.44 is: 180,509.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,407.28 : 319,333.32 = 130,807.44 : x
  2. Step 2: Convert to fraction form
    231,407.28/319,333.32 = 130,807.44/x
  3. Step 3: Cross multiply
    231,407.28x = 319,333.32 × 130,807.44
  4. Step 4: Simplify right side
    231,407.28x = 41,771,174,095.90
  5. Step 5: Solve for x
    x = 41,771,174,095.90/231,407.28
  6. Step 6: Final answer
    x = 180,509.33

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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.