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Finding the Fourth Proportional to 183,077.76, 274,629.12 and 58,428.16

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Solution

The fourth proportional to 183,077.76, 274,629.12 and 58,428.16 is: 87,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,077.76 : 274,629.12 = 58,428.16 : x
  2. Step 2: Convert to fraction form
    183,077.76/274,629.12 = 58,428.16/x
  3. Step 3: Cross multiply
    183,077.76x = 274,629.12 × 58,428.16
  4. Step 4: Simplify right side
    183,077.76x = 16,046,074,164.02
  5. Step 5: Solve for x
    x = 16,046,074,164.02/183,077.76
  6. Step 6: Final answer
    x = 87,646.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.