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Finding the Fourth Proportional to 301,904.80, 452,842.80 and 102,205.60

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Solution

The fourth proportional to 301,904.80, 452,842.80 and 102,205.60 is: 153,303.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,904.80 : 452,842.80 = 102,205.60 : x
  2. Step 2: Convert to fraction form
    301,904.80/452,842.80 = 102,205.60/x
  3. Step 3: Cross multiply
    301,904.80x = 452,842.80 × 102,205.60
  4. Step 4: Simplify right side
    301,904.80x = 46,283,070,079.68
  5. Step 5: Solve for x
    x = 46,283,070,079.68/301,904.80
  6. Step 6: Final answer
    x = 153,303.53

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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.