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Finding the Fourth Proportional to 180,980.14, 249,764.40 and 104,502.46

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Solution

The fourth proportional to 180,980.14, 249,764.40 and 104,502.46 is: 144,220.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,980.14 : 249,764.40 = 104,502.46 : x
  2. Step 2: Convert to fraction form
    180,980.14/249,764.40 = 104,502.46/x
  3. Step 3: Cross multiply
    180,980.14x = 249,764.40 × 104,502.46
  4. Step 4: Simplify right side
    180,980.14x = 26,100,992,449.09
  5. Step 5: Solve for x
    x = 26,100,992,449.09/180,980.14
  6. Step 6: Final answer
    x = 144,220.21

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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.