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Finding the Fourth Proportional to 180,430.96, 248,991.28 and 99,858.52

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Solution

The fourth proportional to 180,430.96, 248,991.28 and 99,858.52 is: 137,802.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,430.96 : 248,991.28 = 99,858.52 : x
  2. Step 2: Convert to fraction form
    180,430.96/248,991.28 = 99,858.52/x
  3. Step 3: Cross multiply
    180,430.96x = 248,991.28 × 99,858.52
  4. Step 4: Simplify right side
    180,430.96x = 24,863,900,713.71
  5. Step 5: Solve for x
    x = 24,863,900,713.71/180,430.96
  6. Step 6: Final answer
    x = 137,802.85

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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.