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Finding the Fourth Proportional to 180,232.84, 248,717.38 and 99,663.72

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Solution

The fourth proportional to 180,232.84, 248,717.38 and 99,663.72 is: 137,533.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232.84 : 248,717.38 = 99,663.72 : x
  2. Step 2: Convert to fraction form
    180,232.84/248,717.38 = 99,663.72/x
  3. Step 3: Cross multiply
    180,232.84x = 248,717.38 × 99,663.72
  4. Step 4: Simplify right side
    180,232.84x = 24,788,099,319.45
  5. Step 5: Solve for x
    x = 24,788,099,319.45/180,232.84
  6. Step 6: Final answer
    x = 137,533.76

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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.