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Finding the Fourth Proportional to 305,098.75, 457,330.40 and 102,544.48

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Solution

The fourth proportional to 305,098.75, 457,330.40 and 102,544.48 is: 153,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,098.75 : 457,330.40 = 102,544.48 : x
  2. Step 2: Convert to fraction form
    305,098.75/457,330.40 = 102,544.48/x
  3. Step 3: Cross multiply
    305,098.75x = 457,330.40 × 102,544.48
  4. Step 4: Simplify right side
    305,098.75x = 46,896,705,256.82
  5. Step 5: Solve for x
    x = 46,896,705,256.82/305,098.75
  6. Step 6: Final answer
    x = 153,709.93

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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.