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Finding the Fourth Proportional to 202,938.86, 280,085.18 and 116,881.09

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Solution

The fourth proportional to 202,938.86, 280,085.18 and 116,881.09 is: 161,312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,938.86 : 280,085.18 = 116,881.09 : x
  2. Step 2: Convert to fraction form
    202,938.86/280,085.18 = 116,881.09/x
  3. Step 3: Cross multiply
    202,938.86x = 280,085.18 × 116,881.09
  4. Step 4: Simplify right side
    202,938.86x = 32,736,660,733.59
  5. Step 5: Solve for x
    x = 32,736,660,733.59/202,938.86
  6. Step 6: Final answer
    x = 161,312.93

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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.