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Finding the Fourth Proportional to 180,915.30, 249,678.42 and 100,368.75

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Solution

The fourth proportional to 180,915.30, 249,678.42 and 100,368.75 is: 138,517.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,915.30 : 249,678.42 = 100,368.75 : x
  2. Step 2: Convert to fraction form
    180,915.30/249,678.42 = 100,368.75/x
  3. Step 3: Cross multiply
    180,915.30x = 249,678.42 × 100,368.75
  4. Step 4: Simplify right side
    180,915.30x = 25,059,910,917.38
  5. Step 5: Solve for x
    x = 25,059,910,917.38/180,915.30
  6. Step 6: Final answer
    x = 138,517.37

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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.