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Finding the Fourth Proportional to 189,285.60, 283,582.80 and 154,034.40

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Solution

The fourth proportional to 189,285.60, 283,582.80 and 154,034.40 is: 230,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,285.60 : 283,582.80 = 154,034.40 : x
  2. Step 2: Convert to fraction form
    189,285.60/283,582.80 = 154,034.40/x
  3. Step 3: Cross multiply
    189,285.60x = 283,582.80 × 154,034.40
  4. Step 4: Simplify right side
    189,285.60x = 43,681,506,448.32
  5. Step 5: Solve for x
    x = 43,681,506,448.32/189,285.60
  6. Step 6: Final answer
    x = 230,770.36

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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.