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Finding the Fourth Proportional to 202,973.30, 284,784.70 and 202,973.30

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Solution

The fourth proportional to 202,973.30, 284,784.70 and 202,973.30 is: 284,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,973.30 : 284,784.70 = 202,973.30 : x
  2. Step 2: Convert to fraction form
    202,973.30/284,784.70 = 202,973.30/x
  3. Step 3: Cross multiply
    202,973.30x = 284,784.70 × 202,973.30
  4. Step 4: Simplify right side
    202,973.30x = 57,803,690,348.51
  5. Step 5: Solve for x
    x = 57,803,690,348.51/202,973.30
  6. Step 6: Final answer
    x = 284,784.70

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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.