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Finding the Fourth Proportional to 210,503.58, 290,499.12 and 115,016.20

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Solution

The fourth proportional to 210,503.58, 290,499.12 and 115,016.20 is: 158,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,503.58 : 290,499.12 = 115,016.20 : x
  2. Step 2: Convert to fraction form
    210,503.58/290,499.12 = 115,016.20/x
  3. Step 3: Cross multiply
    210,503.58x = 290,499.12 × 115,016.20
  4. Step 4: Simplify right side
    210,503.58x = 33,412,104,885.74
  5. Step 5: Solve for x
    x = 33,412,104,885.74/210,503.58
  6. Step 6: Final answer
    x = 158,724.64

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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.