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Finding the Fourth Proportional to 180,571.30, 249,105.68 and 116,929.60

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Solution

The fourth proportional to 180,571.30, 249,105.68 and 116,929.60 is: 161,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,571.30 : 249,105.68 = 116,929.60 : x
  2. Step 2: Convert to fraction form
    180,571.30/249,105.68 = 116,929.60/x
  3. Step 3: Cross multiply
    180,571.30x = 249,105.68 × 116,929.60
  4. Step 4: Simplify right side
    180,571.30x = 29,127,827,520.13
  5. Step 5: Solve for x
    x = 29,127,827,520.13/180,571.30
  6. Step 6: Final answer
    x = 161,309.29

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1.5x scale

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.