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Finding the Fourth Proportional to 180,602.84, 249,233.76 and 108,969.04

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Solution

The fourth proportional to 180,602.84, 249,233.76 and 108,969.04 is: 150,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,602.84 : 249,233.76 = 108,969.04 : x
  2. Step 2: Convert to fraction form
    180,602.84/249,233.76 = 108,969.04/x
  3. Step 3: Cross multiply
    180,602.84x = 249,233.76 × 108,969.04
  4. Step 4: Simplify right side
    180,602.84x = 27,158,763,562.79
  5. Step 5: Solve for x
    x = 27,158,763,562.79/180,602.84
  6. Step 6: Final answer
    x = 150,378.39

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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.