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Finding the Fourth Proportional to 180,538.40, 249,065.80 and 108,877.68

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Solution

The fourth proportional to 180,538.40, 249,065.80 and 108,877.68 is: 150,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,538.40 : 249,065.80 = 108,877.68 : x
  2. Step 2: Convert to fraction form
    180,538.40/249,065.80 = 108,877.68/x
  3. Step 3: Cross multiply
    180,538.40x = 249,065.80 × 108,877.68
  4. Step 4: Simplify right side
    180,538.40x = 27,117,706,471.34
  5. Step 5: Solve for x
    x = 27,117,706,471.34/180,538.40
  6. Step 6: Final answer
    x = 150,204.65

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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.