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Finding the Fourth Proportional to 202,333.70, 282,742.30 and 202,333.70

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Solution

The fourth proportional to 202,333.70, 282,742.30 and 202,333.70 is: 282,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,333.70 : 282,742.30 = 202,333.70 : x
  2. Step 2: Convert to fraction form
    202,333.70/282,742.30 = 202,333.70/x
  3. Step 3: Cross multiply
    202,333.70x = 282,742.30 × 202,333.70
  4. Step 4: Simplify right side
    202,333.70x = 57,208,295,705.51
  5. Step 5: Solve for x
    x = 57,208,295,705.51/202,333.70
  6. Step 6: Final answer
    x = 282,742.30

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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.