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Finding the Fourth Proportional to 230,427.82, 317,989.02 and 134,915.32

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Solution

The fourth proportional to 230,427.82, 317,989.02 and 134,915.32 is: 186,182.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,427.82 : 317,989.02 = 134,915.32 : x
  2. Step 2: Convert to fraction form
    230,427.82/317,989.02 = 134,915.32/x
  3. Step 3: Cross multiply
    230,427.82x = 317,989.02 × 134,915.32
  4. Step 4: Simplify right side
    230,427.82x = 42,901,590,389.79
  5. Step 5: Solve for x
    x = 42,901,590,389.79/230,427.82
  6. Step 6: Final answer
    x = 186,182.34

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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.