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Finding the Fourth Proportional to 136,783.90, 205,248.09 and 97,059.58

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Solution

The fourth proportional to 136,783.90, 205,248.09 and 97,059.58 is: 145,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,783.90 : 205,248.09 = 97,059.58 : x
  2. Step 2: Convert to fraction form
    136,783.90/205,248.09 = 97,059.58/x
  3. Step 3: Cross multiply
    136,783.90x = 205,248.09 × 97,059.58
  4. Step 4: Simplify right side
    136,783.90x = 19,921,293,262.06
  5. Step 5: Solve for x
    x = 19,921,293,262.06/136,783.90
  6. Step 6: Final answer
    x = 145,640.63

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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.