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Finding the Fourth Proportional to 180,610.54, 249,246.59 and 103,084.64

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Solution

The fourth proportional to 180,610.54, 249,246.59 and 103,084.64 is: 142,259.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,610.54 : 249,246.59 = 103,084.64 : x
  2. Step 2: Convert to fraction form
    180,610.54/249,246.59 = 103,084.64/x
  3. Step 3: Cross multiply
    180,610.54x = 249,246.59 × 103,084.64
  4. Step 4: Simplify right side
    180,610.54x = 25,693,494,174.40
  5. Step 5: Solve for x
    x = 25,693,494,174.40/180,610.54
  6. Step 6: Final answer
    x = 142,259.11

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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.