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Finding the Fourth Proportional to 180,700.84, 249,363.44 and 100,127.66

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Solution

The fourth proportional to 180,700.84, 249,363.44 and 100,127.66 is: 138,174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,700.84 : 249,363.44 = 100,127.66 : x
  2. Step 2: Convert to fraction form
    180,700.84/249,363.44 = 100,127.66/x
  3. Step 3: Cross multiply
    180,700.84x = 249,363.44 × 100,127.66
  4. Step 4: Simplify right side
    180,700.84x = 24,968,177,736.75
  5. Step 5: Solve for x
    x = 24,968,177,736.75/180,700.84
  6. Step 6: Final answer
    x = 138,174.11

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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.