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Finding the Fourth Proportional to 205,093.10, 286,430.50 and 205,093.10

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Solution

The fourth proportional to 205,093.10, 286,430.50 and 205,093.10 is: 286,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,093.10 : 286,430.50 = 205,093.10 : x
  2. Step 2: Convert to fraction form
    205,093.10/286,430.50 = 205,093.10/x
  3. Step 3: Cross multiply
    205,093.10x = 286,430.50 × 205,093.10
  4. Step 4: Simplify right side
    205,093.10x = 58,744,919,179.55
  5. Step 5: Solve for x
    x = 58,744,919,179.55/205,093.10
  6. Step 6: Final answer
    x = 286,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.