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Finding the Fourth Proportional to 189,608.04, 284,412.06 and 56,484.86

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Solution

The fourth proportional to 189,608.04, 284,412.06 and 56,484.86 is: 84,727.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,608.04 : 284,412.06 = 56,484.86 : x
  2. Step 2: Convert to fraction form
    189,608.04/284,412.06 = 56,484.86/x
  3. Step 3: Cross multiply
    189,608.04x = 284,412.06 × 56,484.86
  4. Step 4: Simplify right side
    189,608.04x = 16,064,973,969.35
  5. Step 5: Solve for x
    x = 16,064,973,969.35/189,608.04
  6. Step 6: Final answer
    x = 84,727.28

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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.