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Finding the Fourth Proportional to 180,232.78, 248,718.64 and 99,658.53

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Solution

The fourth proportional to 180,232.78, 248,718.64 and 99,658.53 is: 137,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232.78 : 248,718.64 = 99,658.53 : x
  2. Step 2: Convert to fraction form
    180,232.78/248,718.64 = 99,658.53/x
  3. Step 3: Cross multiply
    180,232.78x = 248,718.64 × 99,658.53
  4. Step 4: Simplify right side
    180,232.78x = 24,786,934,046.00
  5. Step 5: Solve for x
    x = 24,786,934,046.00/180,232.78
  6. Step 6: Final answer
    x = 137,527.34

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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.