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Finding the Fourth Proportional to 301,798.56, 452,697.48 and 77,159.16

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Solution

The fourth proportional to 301,798.56, 452,697.48 and 77,159.16 is: 115,738.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,798.56 : 452,697.48 = 77,159.16 : x
  2. Step 2: Convert to fraction form
    301,798.56/452,697.48 = 77,159.16/x
  3. Step 3: Cross multiply
    301,798.56x = 452,697.48 × 77,159.16
  4. Step 4: Simplify right side
    301,798.56x = 34,929,757,290.92
  5. Step 5: Solve for x
    x = 34,929,757,290.92/301,798.56
  6. Step 6: Final answer
    x = 115,738.65

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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.