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Finding the Fourth Proportional to 210,440, 290,405.48 and 114,946.72

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Solution

The fourth proportional to 210,440, 290,405.48 and 114,946.72 is: 158,625.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,440 : 290,405.48 = 114,946.72 : x
  2. Step 2: Convert to fraction form
    210,440/290,405.48 = 114,946.72/x
  3. Step 3: Cross multiply
    210,440x = 290,405.48 × 114,946.72
  4. Step 4: Simplify right side
    210,440x = 33,381,157,396.03
  5. Step 5: Solve for x
    x = 33,381,157,396.03/210,440
  6. Step 6: Final answer
    x = 158,625.53

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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.