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Finding the Fourth Proportional to 166,523.25, 249,866.88 and 77,763.86

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Solution

The fourth proportional to 166,523.25, 249,866.88 and 77,763.86 is: 116,684.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,523.25 : 249,866.88 = 77,763.86 : x
  2. Step 2: Convert to fraction form
    166,523.25/249,866.88 = 77,763.86/x
  3. Step 3: Cross multiply
    166,523.25x = 249,866.88 × 77,763.86
  4. Step 4: Simplify right side
    166,523.25x = 19,430,611,825.62
  5. Step 5: Solve for x
    x = 19,430,611,825.62/166,523.25
  6. Step 6: Final answer
    x = 116,684.08

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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.