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Finding the Fourth Proportional to 103,077.38, 142,333.47 and 77,539.48

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Solution

The fourth proportional to 103,077.38, 142,333.47 and 77,539.48 is: 107,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,077.38 : 142,333.47 = 77,539.48 : x
  2. Step 2: Convert to fraction form
    103,077.38/142,333.47 = 77,539.48/x
  3. Step 3: Cross multiply
    103,077.38x = 142,333.47 × 77,539.48
  4. Step 4: Simplify right side
    103,077.38x = 11,036,462,894.56
  5. Step 5: Solve for x
    x = 11,036,462,894.56/103,077.38
  6. Step 6: Final answer
    x = 107,069.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.