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Finding the Fourth Proportional to 82,196, 113,448.60 and 53,465.60

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Solution

The fourth proportional to 82,196, 113,448.60 and 53,465.60 is: 73,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,196 : 113,448.60 = 53,465.60 : x
  2. Step 2: Convert to fraction form
    82,196/113,448.60 = 53,465.60/x
  3. Step 3: Cross multiply
    82,196x = 113,448.60 × 53,465.60
  4. Step 4: Simplify right side
    82,196x = 6,065,597,468.16
  5. Step 5: Solve for x
    x = 6,065,597,468.16/82,196
  6. Step 6: Final answer
    x = 73,794.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.