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Finding the Fourth Proportional to 209,628, 289,291.77 and 114,139.89

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Solution

The fourth proportional to 209,628, 289,291.77 and 114,139.89 is: 157,515.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,628 : 289,291.77 = 114,139.89 : x
  2. Step 2: Convert to fraction form
    209,628/289,291.77 = 114,139.89/x
  3. Step 3: Cross multiply
    209,628x = 289,291.77 × 114,139.89
  4. Step 4: Simplify right side
    209,628x = 33,019,730,805.71
  5. Step 5: Solve for x
    x = 33,019,730,805.71/209,628
  6. Step 6: Final answer
    x = 157,515.84

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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.