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Finding the Fourth Proportional to 180,902.79, 249,661.14 and 100,356.24

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Solution

The fourth proportional to 180,902.79, 249,661.14 and 100,356.24 is: 138,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.79 : 249,661.14 = 100,356.24 : x
  2. Step 2: Convert to fraction form
    180,902.79/249,661.14 = 100,356.24/x
  3. Step 3: Cross multiply
    180,902.79x = 249,661.14 × 100,356.24
  4. Step 4: Simplify right side
    180,902.79x = 25,055,053,284.51
  5. Step 5: Solve for x
    x = 25,055,053,284.51/180,902.79
  6. Step 6: Final answer
    x = 138,500.09

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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.