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Finding the Fourth Proportional to 164,578.01, 246,938.33 and 58,038.09

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Solution

The fourth proportional to 164,578.01, 246,938.33 and 58,038.09 is: 87,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.01 : 246,938.33 = 58,038.09 : x
  2. Step 2: Convert to fraction form
    164,578.01/246,938.33 = 58,038.09/x
  3. Step 3: Cross multiply
    164,578.01x = 246,938.33 × 58,038.09
  4. Step 4: Simplify right side
    164,578.01x = 14,331,830,405.22
  5. Step 5: Solve for x
    x = 14,331,830,405.22/164,578.01
  6. Step 6: Final answer
    x = 87,082.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.