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Finding the Fourth Proportional to 164,042, 226,313.16 and 103,590.08

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Solution

The fourth proportional to 164,042, 226,313.16 and 103,590.08 is: 142,913.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,042 : 226,313.16 = 103,590.08 : x
  2. Step 2: Convert to fraction form
    164,042/226,313.16 = 103,590.08/x
  3. Step 3: Cross multiply
    164,042x = 226,313.16 × 103,590.08
  4. Step 4: Simplify right side
    164,042x = 23,443,798,349.45
  5. Step 5: Solve for x
    x = 23,443,798,349.45/164,042
  6. Step 6: Final answer
    x = 142,913.39

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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.