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Finding the Fourth Proportional to 180,716.84, 249,390.71 and 100,145.70

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Solution

The fourth proportional to 180,716.84, 249,390.71 and 100,145.70 is: 138,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,716.84 : 249,390.71 = 100,145.70 : x
  2. Step 2: Convert to fraction form
    180,716.84/249,390.71 = 100,145.70/x
  3. Step 3: Cross multiply
    180,716.84x = 249,390.71 × 100,145.70
  4. Step 4: Simplify right side
    180,716.84x = 24,975,407,101.26
  5. Step 5: Solve for x
    x = 24,975,407,101.26/180,716.84
  6. Step 6: Final answer
    x = 138,201.88

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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.