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Finding the Fourth Proportional to 202,964.64, 280,085.46 and 112,324.38

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Solution

The fourth proportional to 202,964.64, 280,085.46 and 112,324.38 is: 155,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,964.64 : 280,085.46 = 112,324.38 : x
  2. Step 2: Convert to fraction form
    202,964.64/280,085.46 = 112,324.38/x
  3. Step 3: Cross multiply
    202,964.64x = 280,085.46 × 112,324.38
  4. Step 4: Simplify right side
    202,964.64x = 31,460,425,641.51
  5. Step 5: Solve for x
    x = 31,460,425,641.51/202,964.64
  6. Step 6: Final answer
    x = 155,004.47

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1.5x scale

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.