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Finding the Fourth Proportional to 242,006.40, 362,145.60 and 153,302.40

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Solution

The fourth proportional to 242,006.40, 362,145.60 and 153,302.40 is: 229,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,006.40 : 362,145.60 = 153,302.40 : x
  2. Step 2: Convert to fraction form
    242,006.40/362,145.60 = 153,302.40/x
  3. Step 3: Cross multiply
    242,006.40x = 362,145.60 × 153,302.40
  4. Step 4: Simplify right side
    242,006.40x = 55,517,789,629.44
  5. Step 5: Solve for x
    x = 55,517,789,629.44/242,006.40
  6. Step 6: Final answer
    x = 229,406.29

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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.