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Finding the Fourth Proportional to 103,458.60, 142,762.23 and 58,129.38

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Solution

The fourth proportional to 103,458.60, 142,762.23 and 58,129.38 is: 80,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,458.60 : 142,762.23 = 58,129.38 : x
  2. Step 2: Convert to fraction form
    103,458.60/142,762.23 = 58,129.38/x
  3. Step 3: Cross multiply
    103,458.60x = 142,762.23 × 58,129.38
  4. Step 4: Simplify right side
    103,458.60x = 8,298,679,917.32
  5. Step 5: Solve for x
    x = 8,298,679,917.32/103,458.60
  6. Step 6: Final answer
    x = 80,212.57

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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.