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Finding the Fourth Proportional to 302,199.08, 453,314.82 and 77,561.48

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Solution

The fourth proportional to 302,199.08, 453,314.82 and 77,561.48 is: 116,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,199.08 : 453,314.82 = 77,561.48 : x
  2. Step 2: Convert to fraction form
    302,199.08/453,314.82 = 77,561.48/x
  3. Step 3: Cross multiply
    302,199.08x = 453,314.82 × 77,561.48
  4. Step 4: Simplify right side
    302,199.08x = 35,159,768,345.13
  5. Step 5: Solve for x
    x = 35,159,768,345.13/302,199.08
  6. Step 6: Final answer
    x = 116,346.38

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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.