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Finding the Fourth Proportional to 180,754, 249,440.04 and 100,181.68

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Solution

The fourth proportional to 180,754, 249,440.04 and 100,181.68 is: 138,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,754 : 249,440.04 = 100,181.68 : x
  2. Step 2: Convert to fraction form
    180,754/249,440.04 = 100,181.68/x
  3. Step 3: Cross multiply
    180,754x = 249,440.04 × 100,181.68
  4. Step 4: Simplify right side
    180,754x = 24,989,322,266.47
  5. Step 5: Solve for x
    x = 24,989,322,266.47/180,754
  6. Step 6: Final answer
    x = 138,250.45

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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.