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Finding the Fourth Proportional to 169,852.77, 254,815.80 and 51,533.64

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Solution

The fourth proportional to 169,852.77, 254,815.80 and 51,533.64 is: 77,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,852.77 : 254,815.80 = 51,533.64 : x
  2. Step 2: Convert to fraction form
    169,852.77/254,815.80 = 51,533.64/x
  3. Step 3: Cross multiply
    169,852.77x = 254,815.80 × 51,533.64
  4. Step 4: Simplify right side
    169,852.77x = 13,131,585,703.51
  5. Step 5: Solve for x
    x = 13,131,585,703.51/169,852.77
  6. Step 6: Final answer
    x = 77,311.58

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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.