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Finding the Fourth Proportional to 301,911.30, 452,915.55 and 102,243.87

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Solution

The fourth proportional to 301,911.30, 452,915.55 and 102,243.87 is: 153,382.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,911.30 : 452,915.55 = 102,243.87 : x
  2. Step 2: Convert to fraction form
    301,911.30/452,915.55 = 102,243.87/x
  3. Step 3: Cross multiply
    301,911.30x = 452,915.55 × 102,243.87
  4. Step 4: Simplify right side
    301,911.30x = 46,307,838,615.18
  5. Step 5: Solve for x
    x = 46,307,838,615.18/301,911.30
  6. Step 6: Final answer
    x = 153,382.26

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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.