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Finding the Fourth Proportional to 180,924.87, 249,706.20 and 100,378.35

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Solution

The fourth proportional to 180,924.87, 249,706.20 and 100,378.35 is: 138,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,924.87 : 249,706.20 = 100,378.35 : x
  2. Step 2: Convert to fraction form
    180,924.87/249,706.20 = 100,378.35/x
  3. Step 3: Cross multiply
    180,924.87x = 249,706.20 × 100,378.35
  4. Step 4: Simplify right side
    180,924.87x = 25,065,096,340.77
  5. Step 5: Solve for x
    x = 25,065,096,340.77/180,924.87
  6. Step 6: Final answer
    x = 138,538.70

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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.