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Finding the Fourth Proportional to 138,166, 190,669.08 and 78,550

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Solution

The fourth proportional to 138,166, 190,669.08 and 78,550 is: 108,399.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,166 : 190,669.08 = 78,550 : x
  2. Step 2: Convert to fraction form
    138,166/190,669.08 = 78,550/x
  3. Step 3: Cross multiply
    138,166x = 190,669.08 × 78,550
  4. Step 4: Simplify right side
    138,166x = 14,977,056,234.00
  5. Step 5: Solve for x
    x = 14,977,056,234.00/138,166
  6. Step 6: Final answer
    x = 108,399.00

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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.