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Finding the Fourth Proportional to 180,727.32, 249,392.40 and 100,150.14

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Solution

The fourth proportional to 180,727.32, 249,392.40 and 100,150.14 is: 138,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,727.32 : 249,392.40 = 100,150.14 : x
  2. Step 2: Convert to fraction form
    180,727.32/249,392.40 = 100,150.14/x
  3. Step 3: Cross multiply
    180,727.32x = 249,392.40 × 100,150.14
  4. Step 4: Simplify right side
    180,727.32x = 24,976,683,774.94
  5. Step 5: Solve for x
    x = 24,976,683,774.94/180,727.32
  6. Step 6: Final answer
    x = 138,200.93

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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.