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Finding the Fourth Proportional to 200,838.48, 277,074.12 and 115,895.28

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Solution

The fourth proportional to 200,838.48, 277,074.12 and 115,895.28 is: 159,887.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,838.48 : 277,074.12 = 115,895.28 : x
  2. Step 2: Convert to fraction form
    200,838.48/277,074.12 = 115,895.28/x
  3. Step 3: Cross multiply
    200,838.48x = 277,074.12 × 115,895.28
  4. Step 4: Simplify right side
    200,838.48x = 32,111,582,718.15
  5. Step 5: Solve for x
    x = 32,111,582,718.15/200,838.48
  6. Step 6: Final answer
    x = 159,887.60

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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.