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Finding the Fourth Proportional to 377,142.95, 565,340.73 and 177,105.26

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Solution

The fourth proportional to 377,142.95, 565,340.73 and 177,105.26 is: 265,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,142.95 : 565,340.73 = 177,105.26 : x
  2. Step 2: Convert to fraction form
    377,142.95/565,340.73 = 177,105.26/x
  3. Step 3: Cross multiply
    377,142.95x = 565,340.73 × 177,105.26
  4. Step 4: Simplify right side
    377,142.95x = 100,124,814,148.54
  5. Step 5: Solve for x
    x = 100,124,814,148.54/377,142.95
  6. Step 6: Final answer
    x = 265,482.40

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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.