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Finding the Fourth Proportional to 114,726, 171,720.48 and 61,284.36

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Solution

The fourth proportional to 114,726, 171,720.48 and 61,284.36 is: 91,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,726 : 171,720.48 = 61,284.36 : x
  2. Step 2: Convert to fraction form
    114,726/171,720.48 = 61,284.36/x
  3. Step 3: Cross multiply
    114,726x = 171,720.48 × 61,284.36
  4. Step 4: Simplify right side
    114,726x = 10,523,779,715.69
  5. Step 5: Solve for x
    x = 10,523,779,715.69/114,726
  6. Step 6: Final answer
    x = 91,729.68

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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.