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Finding the Fourth Proportional to 218,943.60, 328,415.40 and 119,065.20

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Solution

The fourth proportional to 218,943.60, 328,415.40 and 119,065.20 is: 178,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,943.60 : 328,415.40 = 119,065.20 : x
  2. Step 2: Convert to fraction form
    218,943.60/328,415.40 = 119,065.20/x
  3. Step 3: Cross multiply
    218,943.60x = 328,415.40 × 119,065.20
  4. Step 4: Simplify right side
    218,943.60x = 39,102,845,284.08
  5. Step 5: Solve for x
    x = 39,102,845,284.08/218,943.60
  6. Step 6: Final answer
    x = 178,597.80

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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.