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Finding the Fourth Proportional to 210,290.90, 290,199.92 and 114,797.57

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Solution

The fourth proportional to 210,290.90, 290,199.92 and 114,797.57 is: 158,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,290.90 : 290,199.92 = 114,797.57 : x
  2. Step 2: Convert to fraction form
    210,290.90/290,199.92 = 114,797.57/x
  3. Step 3: Cross multiply
    210,290.90x = 290,199.92 × 114,797.57
  4. Step 4: Simplify right side
    210,290.90x = 33,314,243,605.21
  5. Step 5: Solve for x
    x = 33,314,243,605.21/210,290.90
  6. Step 6: Final answer
    x = 158,419.81

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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.