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Finding the Fourth Proportional to 180,802.34, 249,522.14 and 100,255.13

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Solution

The fourth proportional to 180,802.34, 249,522.14 and 100,255.13 is: 138,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,802.34 : 249,522.14 = 100,255.13 : x
  2. Step 2: Convert to fraction form
    180,802.34/249,522.14 = 100,255.13/x
  3. Step 3: Cross multiply
    180,802.34x = 249,522.14 × 100,255.13
  4. Step 4: Simplify right side
    180,802.34x = 25,015,874,082.30
  5. Step 5: Solve for x
    x = 25,015,874,082.30/180,802.34
  6. Step 6: Final answer
    x = 138,360.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.