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Finding the Fourth Proportional to 182,276.19, 251,543.35 and 105,813

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Solution

The fourth proportional to 182,276.19, 251,543.35 and 105,813 is: 146,023.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,276.19 : 251,543.35 = 105,813 : x
  2. Step 2: Convert to fraction form
    182,276.19/251,543.35 = 105,813/x
  3. Step 3: Cross multiply
    182,276.19x = 251,543.35 × 105,813
  4. Step 4: Simplify right side
    182,276.19x = 26,616,556,493.55
  5. Step 5: Solve for x
    x = 26,616,556,493.55/182,276.19
  6. Step 6: Final answer
    x = 146,023.22

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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.