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Finding the Fourth Proportional to 200,805.48, 277,115.22 and 110,166.08

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Solution

The fourth proportional to 200,805.48, 277,115.22 and 110,166.08 is: 152,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,805.48 : 277,115.22 = 110,166.08 : x
  2. Step 2: Convert to fraction form
    200,805.48/277,115.22 = 110,166.08/x
  3. Step 3: Cross multiply
    200,805.48x = 277,115.22 × 110,166.08
  4. Step 4: Simplify right side
    200,805.48x = 30,528,697,495.74
  5. Step 5: Solve for x
    x = 30,528,697,495.74/200,805.48
  6. Step 6: Final answer
    x = 152,031.20

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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.