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Finding the Fourth Proportional to 180,581.86, 249,136.05 and 116,954.74

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Solution

The fourth proportional to 180,581.86, 249,136.05 and 116,954.74 is: 161,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,581.86 : 249,136.05 = 116,954.74 : x
  2. Step 2: Convert to fraction form
    180,581.86/249,136.05 = 116,954.74/x
  3. Step 3: Cross multiply
    180,581.86x = 249,136.05 × 116,954.74
  4. Step 4: Simplify right side
    180,581.86x = 29,137,641,952.38
  5. Step 5: Solve for x
    x = 29,137,641,952.38/180,581.86
  6. Step 6: Final answer
    x = 161,354.20

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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.