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Finding the Fourth Proportional to 189,648.98, 284,383.16 and 56,482.55

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Solution

The fourth proportional to 189,648.98, 284,383.16 and 56,482.55 is: 84,696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,648.98 : 284,383.16 = 56,482.55 : x
  2. Step 2: Convert to fraction form
    189,648.98/284,383.16 = 56,482.55/x
  3. Step 3: Cross multiply
    189,648.98x = 284,383.16 × 56,482.55
  4. Step 4: Simplify right side
    189,648.98x = 16,062,685,771.45
  5. Step 5: Solve for x
    x = 16,062,685,771.45/189,648.98
  6. Step 6: Final answer
    x = 84,696.93

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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.