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Finding the Fourth Proportional to 255,094.40, 382,204.20 and 166,302.20

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Solution

The fourth proportional to 255,094.40, 382,204.20 and 166,302.20 is: 249,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,094.40 : 382,204.20 = 166,302.20 : x
  2. Step 2: Convert to fraction form
    255,094.40/382,204.20 = 166,302.20/x
  3. Step 3: Cross multiply
    255,094.40x = 382,204.20 × 166,302.20
  4. Step 4: Simplify right side
    255,094.40x = 63,561,399,309.24
  5. Step 5: Solve for x
    x = 63,561,399,309.24/255,094.40
  6. Step 6: Final answer
    x = 249,168.15

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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.