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Finding the Fourth Proportional to 292,204.80, 438,307.20 and 167,788.80

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Solution

The fourth proportional to 292,204.80, 438,307.20 and 167,788.80 is: 251,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,204.80 : 438,307.20 = 167,788.80 : x
  2. Step 2: Convert to fraction form
    292,204.80/438,307.20 = 167,788.80/x
  3. Step 3: Cross multiply
    292,204.80x = 438,307.20 × 167,788.80
  4. Step 4: Simplify right side
    292,204.80x = 73,543,039,119.36
  5. Step 5: Solve for x
    x = 73,543,039,119.36/292,204.80
  6. Step 6: Final answer
    x = 251,683.20

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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.