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Finding the Fourth Proportional to 180,772.36, 249,480.78 and 100,225.12

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Solution

The fourth proportional to 180,772.36, 249,480.78 and 100,225.12 is: 138,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,772.36 : 249,480.78 = 100,225.12 : x
  2. Step 2: Convert to fraction form
    180,772.36/249,480.78 = 100,225.12/x
  3. Step 3: Cross multiply
    180,772.36x = 249,480.78 × 100,225.12
  4. Step 4: Simplify right side
    180,772.36x = 25,004,241,113.19
  5. Step 5: Solve for x
    x = 25,004,241,113.19/180,772.36
  6. Step 6: Final answer
    x = 138,318.94

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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.