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Finding the Fourth Proportional to 119,266.80, 178,900.20 and 77,276.40

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Solution

The fourth proportional to 119,266.80, 178,900.20 and 77,276.40 is: 115,914.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,266.80 : 178,900.20 = 77,276.40 : x
  2. Step 2: Convert to fraction form
    119,266.80/178,900.20 = 77,276.40/x
  3. Step 3: Cross multiply
    119,266.80x = 178,900.20 × 77,276.40
  4. Step 4: Simplify right side
    119,266.80x = 13,824,763,415.28
  5. Step 5: Solve for x
    x = 13,824,763,415.28/119,266.80
  6. Step 6: Final answer
    x = 115,914.60

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Why These Related Problems?

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