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Finding the Fourth Proportional to 301,705.90, 452,531.19 and 102,028.02

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Solution

The fourth proportional to 301,705.90, 452,531.19 and 102,028.02 is: 153,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,705.90 : 452,531.19 = 102,028.02 : x
  2. Step 2: Convert to fraction form
    301,705.90/452,531.19 = 102,028.02/x
  3. Step 3: Cross multiply
    301,705.90x = 452,531.19 × 102,028.02
  4. Step 4: Simplify right side
    301,705.90x = 46,170,861,303.94
  5. Step 5: Solve for x
    x = 46,170,861,303.94/301,705.90
  6. Step 6: Final answer
    x = 153,032.68

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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.