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Finding the Fourth Proportional to 200,905.38, 277,180.59 and 114,802.50

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Solution

The fourth proportional to 200,905.38, 277,180.59 and 114,802.50 is: 158,388.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.38 : 277,180.59 = 114,802.50 : x
  2. Step 2: Convert to fraction form
    200,905.38/277,180.59 = 114,802.50/x
  3. Step 3: Cross multiply
    200,905.38x = 277,180.59 × 114,802.50
  4. Step 4: Simplify right side
    200,905.38x = 31,821,024,683.48
  5. Step 5: Solve for x
    x = 31,821,024,683.48/200,905.38
  6. Step 6: Final answer
    x = 158,388.12

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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.