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Finding the Fourth Proportional to 180,033.68, 248,451.50 and 99,466.40

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Solution

The fourth proportional to 180,033.68, 248,451.50 and 99,466.40 is: 137,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,033.68 : 248,451.50 = 99,466.40 : x
  2. Step 2: Convert to fraction form
    180,033.68/248,451.50 = 99,466.40/x
  3. Step 3: Cross multiply
    180,033.68x = 248,451.50 × 99,466.40
  4. Step 4: Simplify right side
    180,033.68x = 24,712,575,782.27
  5. Step 5: Solve for x
    x = 24,712,575,782.27/180,033.68
  6. Step 6: Final answer
    x = 137,266.40

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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.