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Finding the Fourth Proportional to 138,065.65, 190,531.73 and 77,635.77

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Solution

The fourth proportional to 138,065.65, 190,531.73 and 77,635.77 is: 107,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,065.65 : 190,531.73 = 77,635.77 : x
  2. Step 2: Convert to fraction form
    138,065.65/190,531.73 = 77,635.77/x
  3. Step 3: Cross multiply
    138,065.65x = 190,531.73 × 77,635.77
  4. Step 4: Simplify right side
    138,065.65x = 14,792,077,567.98
  5. Step 5: Solve for x
    x = 14,792,077,567.98/138,065.65
  6. Step 6: Final answer
    x = 107,138.00

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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.