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Finding the Fourth Proportional to 187,858, 259,270.56 and 116,261.08

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Solution

The fourth proportional to 187,858, 259,270.56 and 116,261.08 is: 160,456.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,858 : 259,270.56 = 116,261.08 : x
  2. Step 2: Convert to fraction form
    187,858/259,270.56 = 116,261.08/x
  3. Step 3: Cross multiply
    187,858x = 259,270.56 × 116,261.08
  4. Step 4: Simplify right side
    187,858x = 30,143,075,317.80
  5. Step 5: Solve for x
    x = 30,143,075,317.80/187,858
  6. Step 6: Final answer
    x = 160,456.70

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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.