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Finding the Fourth Proportional to 116,196, 174,294 and 28,644

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Solution

The fourth proportional to 116,196, 174,294 and 28,644 is: 42,966

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,196 : 174,294 = 28,644 : x
  2. Step 2: Convert to fraction form
    116,196/174,294 = 28,644/x
  3. Step 3: Cross multiply
    116,196x = 174,294 × 28,644
  4. Step 4: Simplify right side
    116,196x = 4,992,477,336
  5. Step 5: Solve for x
    x = 4,992,477,336/116,196
  6. Step 6: Final answer
    x = 42,966

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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.