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Finding the Fourth Proportional to 209,603.67, 289,547.10 and 186,935.37

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Solution

The fourth proportional to 209,603.67, 289,547.10 and 186,935.37 is: 258,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,603.67 : 289,547.10 = 186,935.37 : x
  2. Step 2: Convert to fraction form
    209,603.67/289,547.10 = 186,935.37/x
  3. Step 3: Cross multiply
    209,603.67x = 289,547.10 × 186,935.37
  4. Step 4: Simplify right side
    209,603.67x = 54,126,594,270.93
  5. Step 5: Solve for x
    x = 54,126,594,270.93/209,603.67
  6. Step 6: Final answer
    x = 258,233.05

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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.