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Finding the Fourth Proportional to 189,478.95, 284,156.84 and 63,085.23

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Solution

The fourth proportional to 189,478.95, 284,156.84 and 63,085.23 is: 94,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,478.95 : 284,156.84 = 63,085.23 : x
  2. Step 2: Convert to fraction form
    189,478.95/284,156.84 = 63,085.23/x
  3. Step 3: Cross multiply
    189,478.95x = 284,156.84 × 63,085.23
  4. Step 4: Simplify right side
    189,478.95x = 17,926,099,765.19
  5. Step 5: Solve for x
    x = 17,926,099,765.19/189,478.95
  6. Step 6: Final answer
    x = 94,607.34

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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.