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Finding the Fourth Proportional to 166,643.29, 249,963.73 and 66,802.03

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Solution

The fourth proportional to 166,643.29, 249,963.73 and 66,802.03 is: 100,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,643.29 : 249,963.73 = 66,802.03 : x
  2. Step 2: Convert to fraction form
    166,643.29/249,963.73 = 66,802.03/x
  3. Step 3: Cross multiply
    166,643.29x = 249,963.73 × 66,802.03
  4. Step 4: Simplify right side
    166,643.29x = 16,698,084,590.37
  5. Step 5: Solve for x
    x = 16,698,084,590.37/166,643.29
  6. Step 6: Final answer
    x = 100,202.56

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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.