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Finding the Fourth Proportional to 102,186.74, 140,973.54 and 58,556.10

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Solution

The fourth proportional to 102,186.74, 140,973.54 and 58,556.10 is: 80,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.74 : 140,973.54 = 58,556.10 : x
  2. Step 2: Convert to fraction form
    102,186.74/140,973.54 = 58,556.10/x
  3. Step 3: Cross multiply
    102,186.74x = 140,973.54 × 58,556.10
  4. Step 4: Simplify right side
    102,186.74x = 8,254,860,705.59
  5. Step 5: Solve for x
    x = 8,254,860,705.59/102,186.74
  6. Step 6: Final answer
    x = 80,782.11

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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.