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Finding the Fourth Proportional to 180,798.64, 249,475.92 and 100,226.14

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Solution

The fourth proportional to 180,798.64, 249,475.92 and 100,226.14 is: 138,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,798.64 : 249,475.92 = 100,226.14 : x
  2. Step 2: Convert to fraction form
    180,798.64/249,475.92 = 100,226.14/x
  3. Step 3: Cross multiply
    180,798.64x = 249,475.92 × 100,226.14
  4. Step 4: Simplify right side
    180,798.64x = 25,004,008,484.55
  5. Step 5: Solve for x
    x = 25,004,008,484.55/180,798.64
  6. Step 6: Final answer
    x = 138,297.55

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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.