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Finding the Fourth Proportional to 200,802.69, 277,108.74 and 110,167.04

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Solution

The fourth proportional to 200,802.69, 277,108.74 and 110,167.04 is: 152,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,802.69 : 277,108.74 = 110,167.04 : x
  2. Step 2: Convert to fraction form
    200,802.69/277,108.74 = 110,167.04/x
  3. Step 3: Cross multiply
    200,802.69x = 277,108.74 × 110,167.04
  4. Step 4: Simplify right side
    200,802.69x = 30,528,247,982.97
  5. Step 5: Solve for x
    x = 30,528,247,982.97/200,802.69
  6. Step 6: Final answer
    x = 152,031.07

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1.5x scale

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.