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Finding the Fourth Proportional to 202,946.16, 280,095.41 and 116,888.60

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Solution

The fourth proportional to 202,946.16, 280,095.41 and 116,888.60 is: 161,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,946.16 : 280,095.41 = 116,888.60 : x
  2. Step 2: Convert to fraction form
    202,946.16/280,095.41 = 116,888.60/x
  3. Step 3: Cross multiply
    202,946.16x = 280,095.41 × 116,888.60
  4. Step 4: Simplify right side
    202,946.16x = 32,739,961,333.79
  5. Step 5: Solve for x
    x = 32,739,961,333.79/202,946.16
  6. Step 6: Final answer
    x = 161,323.38

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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.