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Finding the Fourth Proportional to 180,901.84, 249,652.88 and 100,324.57

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Solution

The fourth proportional to 180,901.84, 249,652.88 and 100,324.57 is: 138,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,901.84 : 249,652.88 = 100,324.57 : x
  2. Step 2: Convert to fraction form
    180,901.84/249,652.88 = 100,324.57/x
  3. Step 3: Cross multiply
    180,901.84x = 249,652.88 × 100,324.57
  4. Step 4: Simplify right side
    180,901.84x = 25,046,316,336.19
  5. Step 5: Solve for x
    x = 25,046,316,336.19/180,901.84
  6. Step 6: Final answer
    x = 138,452.52

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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.