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Finding the Fourth Proportional to 199,419.60, 299,129.40 and 152,180.40

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Solution

The fourth proportional to 199,419.60, 299,129.40 and 152,180.40 is: 228,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.60 : 299,129.40 = 152,180.40 : x
  2. Step 2: Convert to fraction form
    199,419.60/299,129.40 = 152,180.40/x
  3. Step 3: Cross multiply
    199,419.60x = 299,129.40 × 152,180.40
  4. Step 4: Simplify right side
    199,419.60x = 45,521,631,743.76
  5. Step 5: Solve for x
    x = 45,521,631,743.76/199,419.60
  6. Step 6: Final answer
    x = 228,270.60

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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.