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Finding the Fourth Proportional to 189,848.68, 284,775.45 and 56,698.45

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Solution

The fourth proportional to 189,848.68, 284,775.45 and 56,698.45 is: 85,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,848.68 : 284,775.45 = 56,698.45 : x
  2. Step 2: Convert to fraction form
    189,848.68/284,775.45 = 56,698.45/x
  3. Step 3: Cross multiply
    189,848.68x = 284,775.45 × 56,698.45
  4. Step 4: Simplify right side
    189,848.68x = 16,146,326,613.05
  5. Step 5: Solve for x
    x = 16,146,326,613.05/189,848.68
  6. Step 6: Final answer
    x = 85,048.40

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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.