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Finding the Fourth Proportional to 210,519.19, 290,415 and 153,069.40

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Solution

The fourth proportional to 210,519.19, 290,415 and 153,069.40 is: 211,161.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,519.19 : 290,415 = 153,069.40 : x
  2. Step 2: Convert to fraction form
    210,519.19/290,415 = 153,069.40/x
  3. Step 3: Cross multiply
    210,519.19x = 290,415 × 153,069.40
  4. Step 4: Simplify right side
    210,519.19x = 44,453,649,801
  5. Step 5: Solve for x
    x = 44,453,649,801/210,519.19
  6. Step 6: Final answer
    x = 211,161.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.