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Finding the Fourth Proportional to 180,900.28, 249,657.72 and 100,353.76

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Solution

The fourth proportional to 180,900.28, 249,657.72 and 100,353.76 is: 138,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900.28 : 249,657.72 = 100,353.76 : x
  2. Step 2: Convert to fraction form
    180,900.28/249,657.72 = 100,353.76/x
  3. Step 3: Cross multiply
    180,900.28x = 249,657.72 × 100,353.76
  4. Step 4: Simplify right side
    180,900.28x = 25,054,090,915.03
  5. Step 5: Solve for x
    x = 25,054,090,915.03/180,900.28
  6. Step 6: Final answer
    x = 138,496.70

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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.