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Finding the Fourth Proportional to 180,714.84, 249,388.78 and 100,143.94

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Solution

The fourth proportional to 180,714.84, 249,388.78 and 100,143.94 is: 138,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,714.84 : 249,388.78 = 100,143.94 : x
  2. Step 2: Convert to fraction form
    180,714.84/249,388.78 = 100,143.94/x
  3. Step 3: Cross multiply
    180,714.84x = 249,388.78 × 100,143.94
  4. Step 4: Simplify right side
    180,714.84x = 24,974,775,020.99
  5. Step 5: Solve for x
    x = 24,974,775,020.99/180,714.84
  6. Step 6: Final answer
    x = 138,199.91

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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.