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Finding the Fourth Proportional to 147,042.02, 219,567.03 and 116,716.03

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Solution

The fourth proportional to 147,042.02, 219,567.03 and 116,716.03 is: 174,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,042.02 : 219,567.03 = 116,716.03 : x
  2. Step 2: Convert to fraction form
    147,042.02/219,567.03 = 116,716.03/x
  3. Step 3: Cross multiply
    147,042.02x = 219,567.03 × 116,716.03
  4. Step 4: Simplify right side
    147,042.02x = 25,626,992,060.49
  5. Step 5: Solve for x
    x = 25,626,992,060.49/147,042.02
  6. Step 6: Final answer
    x = 174,283.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.