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Finding the Fourth Proportional to 302,132.95, 453,199.54 and 77,493.39

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Solution

The fourth proportional to 302,132.95, 453,199.54 and 77,493.39 is: 116,240.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,132.95 : 453,199.54 = 77,493.39 : x
  2. Step 2: Convert to fraction form
    302,132.95/453,199.54 = 77,493.39/x
  3. Step 3: Cross multiply
    302,132.95x = 453,199.54 × 77,493.39
  4. Step 4: Simplify right side
    302,132.95x = 35,119,969,502.36
  5. Step 5: Solve for x
    x = 35,119,969,502.36/302,132.95
  6. Step 6: Final answer
    x = 116,240.12

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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.