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Finding the Fourth Proportional to 180,709.55, 249,388.56 and 100,146.14

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Solution

The fourth proportional to 180,709.55, 249,388.56 and 100,146.14 is: 138,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,709.55 : 249,388.56 = 100,146.14 : x
  2. Step 2: Convert to fraction form
    180,709.55/249,388.56 = 100,146.14/x
  3. Step 3: Cross multiply
    180,709.55x = 249,388.56 × 100,146.14
  4. Step 4: Simplify right side
    180,709.55x = 24,975,300,397.22
  5. Step 5: Solve for x
    x = 24,975,300,397.22/180,709.55
  6. Step 6: Final answer
    x = 138,206.87

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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.