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Finding the Fourth Proportional to 114,201.95, 171,319.33 and 35,322.33

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Solution

The fourth proportional to 114,201.95, 171,319.33 and 35,322.33 is: 52,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,201.95 : 171,319.33 = 35,322.33 : x
  2. Step 2: Convert to fraction form
    114,201.95/171,319.33 = 35,322.33/x
  3. Step 3: Cross multiply
    114,201.95x = 171,319.33 × 35,322.33
  4. Step 4: Simplify right side
    114,201.95x = 6,051,397,533.22
  5. Step 5: Solve for x
    x = 6,051,397,533.22/114,201.95
  6. Step 6: Final answer
    x = 52,988.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.