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Finding the Fourth Proportional to 145,232.80, 217,849.20 and 46,736.80

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Solution

The fourth proportional to 145,232.80, 217,849.20 and 46,736.80 is: 70,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,232.80 : 217,849.20 = 46,736.80 : x
  2. Step 2: Convert to fraction form
    145,232.80/217,849.20 = 46,736.80/x
  3. Step 3: Cross multiply
    145,232.80x = 217,849.20 × 46,736.80
  4. Step 4: Simplify right side
    145,232.80x = 10,181,574,490.56
  5. Step 5: Solve for x
    x = 10,181,574,490.56/145,232.80
  6. Step 6: Final answer
    x = 70,105.20

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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.