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Finding the Fourth Proportional to 122,090.49, 182,807.63 and 77,475.69

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Solution

The fourth proportional to 122,090.49, 182,807.63 and 77,475.69 is: 116,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,090.49 : 182,807.63 = 77,475.69 : x
  2. Step 2: Convert to fraction form
    122,090.49/182,807.63 = 77,475.69/x
  3. Step 3: Cross multiply
    122,090.49x = 182,807.63 × 77,475.69
  4. Step 4: Simplify right side
    122,090.49x = 14,163,146,884.14
  5. Step 5: Solve for x
    x = 14,163,146,884.14/122,090.49
  6. Step 6: Final answer
    x = 116,005.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.