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Finding the Fourth Proportional to 189,289.53, 260,913.53 and 164,697.53

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Solution

The fourth proportional to 189,289.53, 260,913.53 and 164,697.53 is: 227,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,289.53 : 260,913.53 = 164,697.53 : x
  2. Step 2: Convert to fraction form
    189,289.53/260,913.53 = 164,697.53/x
  3. Step 3: Cross multiply
    189,289.53x = 260,913.53 × 164,697.53
  4. Step 4: Simplify right side
    189,289.53x = 42,971,813,041.76
  5. Step 5: Solve for x
    x = 42,971,813,041.76/189,289.53
  6. Step 6: Final answer
    x = 227,016.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.