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Finding the Fourth Proportional to 302,101.80, 453,138.30 and 102,402.60

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Solution

The fourth proportional to 302,101.80, 453,138.30 and 102,402.60 is: 153,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,101.80 : 453,138.30 = 102,402.60 : x
  2. Step 2: Convert to fraction form
    302,101.80/453,138.30 = 102,402.60/x
  3. Step 3: Cross multiply
    302,101.80x = 453,138.30 × 102,402.60
  4. Step 4: Simplify right side
    302,101.80x = 46,402,540,079.58
  5. Step 5: Solve for x
    x = 46,402,540,079.58/302,101.80
  6. Step 6: Final answer
    x = 153,599.02

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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.