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Finding the Fourth Proportional to 189,698.44, 284,547.66 and 65,040.52

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Solution

The fourth proportional to 189,698.44, 284,547.66 and 65,040.52 is: 97,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,698.44 : 284,547.66 = 65,040.52 : x
  2. Step 2: Convert to fraction form
    189,698.44/284,547.66 = 65,040.52/x
  3. Step 3: Cross multiply
    189,698.44x = 284,547.66 × 65,040.52
  4. Step 4: Simplify right side
    189,698.44x = 18,507,127,771.18
  5. Step 5: Solve for x
    x = 18,507,127,771.18/189,698.44
  6. Step 6: Final answer
    x = 97,560.78

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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.