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Finding the Fourth Proportional to 164,044, 226,315.92 and 103,592.08

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Solution

The fourth proportional to 164,044, 226,315.92 and 103,592.08 is: 142,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,044 : 226,315.92 = 103,592.08 : x
  2. Step 2: Convert to fraction form
    164,044/226,315.92 = 103,592.08/x
  3. Step 3: Cross multiply
    164,044x = 226,315.92 × 103,592.08
  4. Step 4: Simplify right side
    164,044x = 23,444,536,889.91
  5. Step 5: Solve for x
    x = 23,444,536,889.91/164,044
  6. Step 6: Final answer
    x = 142,916.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.