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Finding the Fourth Proportional to 102,245.52, 153,316.32 and 46,794

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Solution

The fourth proportional to 102,245.52, 153,316.32 and 46,794 is: 70,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,245.52 : 153,316.32 = 46,794 : x
  2. Step 2: Convert to fraction form
    102,245.52/153,316.32 = 46,794/x
  3. Step 3: Cross multiply
    102,245.52x = 153,316.32 × 46,794
  4. Step 4: Simplify right side
    102,245.52x = 7,174,283,878.08
  5. Step 5: Solve for x
    x = 7,174,283,878.08/102,245.52
  6. Step 6: Final answer
    x = 70,167.22

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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.