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Finding the Fourth Proportional to 166,188.48, 249,284.16 and 55,380.48

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Solution

The fourth proportional to 166,188.48, 249,284.16 and 55,380.48 is: 83,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,188.48 : 249,284.16 = 55,380.48 : x
  2. Step 2: Convert to fraction form
    166,188.48/249,284.16 = 55,380.48/x
  3. Step 3: Cross multiply
    166,188.48x = 249,284.16 × 55,380.48
  4. Step 4: Simplify right side
    166,188.48x = 13,805,476,437.20
  5. Step 5: Solve for x
    x = 13,805,476,437.20/166,188.48
  6. Step 6: Final answer
    x = 83,071.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.