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Finding the Fourth Proportional to 210,225.39, 290,106.97 and 114,732.76

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Solution

The fourth proportional to 210,225.39, 290,106.97 and 114,732.76 is: 158,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,225.39 : 290,106.97 = 114,732.76 : x
  2. Step 2: Convert to fraction form
    210,225.39/290,106.97 = 114,732.76/x
  3. Step 3: Cross multiply
    210,225.39x = 290,106.97 × 114,732.76
  4. Step 4: Simplify right side
    210,225.39x = 33,284,773,363.34
  5. Step 5: Solve for x
    x = 33,284,773,363.34/210,225.39
  6. Step 6: Final answer
    x = 158,328.99

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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.