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Finding the Fourth Proportional to 180,922.68, 249,674.81 and 100,355.42

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Solution

The fourth proportional to 180,922.68, 249,674.81 and 100,355.42 is: 138,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,922.68 : 249,674.81 = 100,355.42 : x
  2. Step 2: Convert to fraction form
    180,922.68/249,674.81 = 100,355.42/x
  3. Step 3: Cross multiply
    180,922.68x = 249,674.81 × 100,355.42
  4. Step 4: Simplify right side
    180,922.68x = 25,056,220,543.38
  5. Step 5: Solve for x
    x = 25,056,220,543.38/180,922.68
  6. Step 6: Final answer
    x = 138,491.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.