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Finding the Fourth Proportional to 189,082.55, 283,595.58 and 62,810.64

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Solution

The fourth proportional to 189,082.55, 283,595.58 and 62,810.64 is: 94,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,082.55 : 283,595.58 = 62,810.64 : x
  2. Step 2: Convert to fraction form
    189,082.55/283,595.58 = 62,810.64/x
  3. Step 3: Cross multiply
    189,082.55x = 283,595.58 × 62,810.64
  4. Step 4: Simplify right side
    189,082.55x = 17,812,819,880.97
  5. Step 5: Solve for x
    x = 17,812,819,880.97/189,082.55
  6. Step 6: Final answer
    x = 94,206.58

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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.