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Finding the Fourth Proportional to 180,580.67, 249,118.62 and 116,938.97

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Solution

The fourth proportional to 180,580.67, 249,118.62 and 116,938.97 is: 161,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,580.67 : 249,118.62 = 116,938.97 : x
  2. Step 2: Convert to fraction form
    180,580.67/249,118.62 = 116,938.97/x
  3. Step 3: Cross multiply
    180,580.67x = 249,118.62 × 116,938.97
  4. Step 4: Simplify right side
    180,580.67x = 29,131,674,830.62
  5. Step 5: Solve for x
    x = 29,131,674,830.62/180,580.67
  6. Step 6: Final answer
    x = 161,322.22

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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.