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Finding the Fourth Proportional to 302,214.70, 452,803.65 and 144,102.70

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Solution

The fourth proportional to 302,214.70, 452,803.65 and 144,102.70 is: 215,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,214.70 : 452,803.65 = 144,102.70 : x
  2. Step 2: Convert to fraction form
    302,214.70/452,803.65 = 144,102.70/x
  3. Step 3: Cross multiply
    302,214.70x = 452,803.65 × 144,102.70
  4. Step 4: Simplify right side
    302,214.70x = 65,250,228,534.86
  5. Step 5: Solve for x
    x = 65,250,228,534.86/302,214.70
  6. Step 6: Final answer
    x = 215,906.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.