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Finding the Fourth Proportional to 200,841.50, 277,161.28 and 111,417.50

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Solution

The fourth proportional to 200,841.50, 277,161.28 and 111,417.50 is: 153,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,841.50 : 277,161.28 = 111,417.50 : x
  2. Step 2: Convert to fraction form
    200,841.50/277,161.28 = 111,417.50/x
  3. Step 3: Cross multiply
    200,841.50x = 277,161.28 × 111,417.50
  4. Step 4: Simplify right side
    200,841.50x = 30,880,616,914.40
  5. Step 5: Solve for x
    x = 30,880,616,914.40/200,841.50
  6. Step 6: Final answer
    x = 153,756.16

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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.