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Finding the Fourth Proportional to 189,450.84, 284,223.35 and 56,330.90

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Solution

The fourth proportional to 189,450.84, 284,223.35 and 56,330.90 is: 84,510.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,450.84 : 284,223.35 = 56,330.90 : x
  2. Step 2: Convert to fraction form
    189,450.84/284,223.35 = 56,330.90/x
  3. Step 3: Cross multiply
    189,450.84x = 284,223.35 × 56,330.90
  4. Step 4: Simplify right side
    189,450.84x = 16,010,557,106.52
  5. Step 5: Solve for x
    x = 16,010,557,106.52/189,450.84
  6. Step 6: Final answer
    x = 84,510.35

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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.