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Finding the Fourth Proportional to 265,193.40, 397,156.94 and 152,637.02

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Solution

The fourth proportional to 265,193.40, 397,156.94 and 152,637.02 is: 228,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,193.40 : 397,156.94 = 152,637.02 : x
  2. Step 2: Convert to fraction form
    265,193.40/397,156.94 = 152,637.02/x
  3. Step 3: Cross multiply
    265,193.40x = 397,156.94 × 152,637.02
  4. Step 4: Simplify right side
    265,193.40x = 60,620,851,793.92
  5. Step 5: Solve for x
    x = 60,620,851,793.92/265,193.40
  6. Step 6: Final answer
    x = 228,591.10

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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.