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Finding the Fourth Proportional to 180,577.20, 249,237.99 and 120,150.39

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Solution

The fourth proportional to 180,577.20, 249,237.99 and 120,150.39 is: 165,835.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,577.20 : 249,237.99 = 120,150.39 : x
  2. Step 2: Convert to fraction form
    180,577.20/249,237.99 = 120,150.39/x
  3. Step 3: Cross multiply
    180,577.20x = 249,237.99 × 120,150.39
  4. Step 4: Simplify right side
    180,577.20x = 29,946,041,701.32
  5. Step 5: Solve for x
    x = 29,946,041,701.32/180,577.20
  6. Step 6: Final answer
    x = 165,835.12

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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.