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Finding the Fourth Proportional to 180,772.62, 249,466.23 and 101,284.62

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Solution

The fourth proportional to 180,772.62, 249,466.23 and 101,284.62 is: 139,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,772.62 : 249,466.23 = 101,284.62 : x
  2. Step 2: Convert to fraction form
    180,772.62/249,466.23 = 101,284.62/x
  3. Step 3: Cross multiply
    180,772.62x = 249,466.23 × 101,284.62
  4. Step 4: Simplify right side
    180,772.62x = 25,267,092,308.38
  5. Step 5: Solve for x
    x = 25,267,092,308.38/180,772.62
  6. Step 6: Final answer
    x = 139,772.78

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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.