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Finding the Fourth Proportional to 169,964.20, 254,970.60 and 57,649.60

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Solution

The fourth proportional to 169,964.20, 254,970.60 and 57,649.60 is: 86,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,964.20 : 254,970.60 = 57,649.60 : x
  2. Step 2: Convert to fraction form
    169,964.20/254,970.60 = 57,649.60/x
  3. Step 3: Cross multiply
    169,964.20x = 254,970.60 × 57,649.60
  4. Step 4: Simplify right side
    169,964.20x = 14,698,953,101.76
  5. Step 5: Solve for x
    x = 14,698,953,101.76/169,964.20
  6. Step 6: Final answer
    x = 86,482.64

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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.