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Finding the Fourth Proportional to 119,533.73, 164,871.25 and 77,051.25

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Solution

The fourth proportional to 119,533.73, 164,871.25 and 77,051.25 is: 106,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,533.73 : 164,871.25 = 77,051.25 : x
  2. Step 2: Convert to fraction form
    119,533.73/164,871.25 = 77,051.25/x
  3. Step 3: Cross multiply
    119,533.73x = 164,871.25 × 77,051.25
  4. Step 4: Simplify right side
    119,533.73x = 12,703,535,708.93
  5. Step 5: Solve for x
    x = 12,703,535,708.93/119,533.73
  6. Step 6: Final answer
    x = 106,275.75

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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.