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Finding the Fourth Proportional to 302,805.20, 454,207.80 and 103,059.20

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Solution

The fourth proportional to 302,805.20, 454,207.80 and 103,059.20 is: 154,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,805.20 : 454,207.80 = 103,059.20 : x
  2. Step 2: Convert to fraction form
    302,805.20/454,207.80 = 103,059.20/x
  3. Step 3: Cross multiply
    302,805.20x = 454,207.80 × 103,059.20
  4. Step 4: Simplify right side
    302,805.20x = 46,810,292,501.76
  5. Step 5: Solve for x
    x = 46,810,292,501.76/302,805.20
  6. Step 6: Final answer
    x = 154,588.80

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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.