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Finding the Fourth Proportional to 301,706.90, 452,532.69 and 102,029.02

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Solution

The fourth proportional to 301,706.90, 452,532.69 and 102,029.02 is: 153,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,706.90 : 452,532.69 = 102,029.02 : x
  2. Step 2: Convert to fraction form
    301,706.90/452,532.69 = 102,029.02/x
  3. Step 3: Cross multiply
    301,706.90x = 452,532.69 × 102,029.02
  4. Step 4: Simplify right side
    301,706.90x = 46,171,466,878.66
  5. Step 5: Solve for x
    x = 46,171,466,878.66/301,706.90
  6. Step 6: Final answer
    x = 153,034.18

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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.