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Finding the Fourth Proportional to 194,904.60, 292,011.30 and 120,946.20

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Solution

The fourth proportional to 194,904.60, 292,011.30 and 120,946.20 is: 181,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,904.60 : 292,011.30 = 120,946.20 : x
  2. Step 2: Convert to fraction form
    194,904.60/292,011.30 = 120,946.20/x
  3. Step 3: Cross multiply
    194,904.60x = 292,011.30 × 120,946.20
  4. Step 4: Simplify right side
    194,904.60x = 35,317,657,092.06
  5. Step 5: Solve for x
    x = 35,317,657,092.06/194,904.60
  6. Step 6: Final answer
    x = 181,204.84

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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.