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Finding the Fourth Proportional to 180,571.80, 249,106.37 and 116,930.10

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Solution

The fourth proportional to 180,571.80, 249,106.37 and 116,930.10 is: 161,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,571.80 : 249,106.37 = 116,930.10 : x
  2. Step 2: Convert to fraction form
    180,571.80/249,106.37 = 116,930.10/x
  3. Step 3: Cross multiply
    180,571.80x = 249,106.37 × 116,930.10
  4. Step 4: Simplify right side
    180,571.80x = 29,128,032,754.74
  5. Step 5: Solve for x
    x = 29,128,032,754.74/180,571.80
  6. Step 6: Final answer
    x = 161,309.98

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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.