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Finding the Fourth Proportional to 231,495.10, 319,461.51 and 130,896.70

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Solution

The fourth proportional to 231,495.10, 319,461.51 and 130,896.70 is: 180,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,495.10 : 319,461.51 = 130,896.70 : x
  2. Step 2: Convert to fraction form
    231,495.10/319,461.51 = 130,896.70/x
  3. Step 3: Cross multiply
    231,495.10x = 319,461.51 × 130,896.70
  4. Step 4: Simplify right side
    231,495.10x = 41,816,457,436.02
  5. Step 5: Solve for x
    x = 41,816,457,436.02/231,495.10
  6. Step 6: Final answer
    x = 180,636.47

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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.