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Finding the Fourth Proportional to 189,030, 283,546.08 and 48,779.04

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Solution

The fourth proportional to 189,030, 283,546.08 and 48,779.04 is: 73,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,030 : 283,546.08 = 48,779.04 : x
  2. Step 2: Convert to fraction form
    189,030/283,546.08 = 48,779.04/x
  3. Step 3: Cross multiply
    189,030x = 283,546.08 × 48,779.04
  4. Step 4: Simplify right side
    189,030x = 13,831,105,578.16
  5. Step 5: Solve for x
    x = 13,831,105,578.16/189,030
  6. Step 6: Final answer
    x = 73,168.84

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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.