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Finding the Fourth Proportional to 200,089.81, 276,085.74 and 114,047.16

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Solution

The fourth proportional to 200,089.81, 276,085.74 and 114,047.16 is: 157,363.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.81 : 276,085.74 = 114,047.16 : x
  2. Step 2: Convert to fraction form
    200,089.81/276,085.74 = 114,047.16/x
  3. Step 3: Cross multiply
    200,089.81x = 276,085.74 × 114,047.16
  4. Step 4: Simplify right side
    200,089.81x = 31,486,794,563.50
  5. Step 5: Solve for x
    x = 31,486,794,563.50/200,089.81
  6. Step 6: Final answer
    x = 157,363.31

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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.