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Finding the Fourth Proportional to 304,096.77, 455,702.28 and 146,140.71

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Solution

The fourth proportional to 304,096.77, 455,702.28 and 146,140.71 is: 218,998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,096.77 : 455,702.28 = 146,140.71 : x
  2. Step 2: Convert to fraction form
    304,096.77/455,702.28 = 146,140.71/x
  3. Step 3: Cross multiply
    304,096.77x = 455,702.28 × 146,140.71
  4. Step 4: Simplify right side
    304,096.77x = 66,596,654,747.82
  5. Step 5: Solve for x
    x = 66,596,654,747.82/304,096.77
  6. Step 6: Final answer
    x = 218,998.23

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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.