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Finding the Fourth Proportional to 180,998.10, 249,813.72 and 104,529.65

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Solution

The fourth proportional to 180,998.10, 249,813.72 and 104,529.65 is: 144,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,998.10 : 249,813.72 = 104,529.65 : x
  2. Step 2: Convert to fraction form
    180,998.10/249,813.72 = 104,529.65/x
  3. Step 3: Cross multiply
    180,998.10x = 249,813.72 × 104,529.65
  4. Step 4: Simplify right side
    180,998.10x = 26,112,939,467.73
  5. Step 5: Solve for x
    x = 26,112,939,467.73/180,998.10
  6. Step 6: Final answer
    x = 144,271.90

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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.