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Finding the Fourth Proportional to 180,995.61, 249,796.80 and 118,958.52

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Solution

The fourth proportional to 180,995.61, 249,796.80 and 118,958.52 is: 164,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,995.61 : 249,796.80 = 118,958.52 : x
  2. Step 2: Convert to fraction form
    180,995.61/249,796.80 = 118,958.52/x
  3. Step 3: Cross multiply
    180,995.61x = 249,796.80 × 118,958.52
  4. Step 4: Simplify right side
    180,995.61x = 29,715,457,628.74
  5. Step 5: Solve for x
    x = 29,715,457,628.74/180,995.61
  6. Step 6: Final answer
    x = 164,177.78

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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.