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Finding the Fourth Proportional to 301,921.48, 452,881.93 and 77,281.56

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Solution

The fourth proportional to 301,921.48, 452,881.93 and 77,281.56 is: 115,922.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,921.48 : 452,881.93 = 77,281.56 : x
  2. Step 2: Convert to fraction form
    301,921.48/452,881.93 = 77,281.56/x
  3. Step 3: Cross multiply
    301,921.48x = 452,881.93 × 77,281.56
  4. Step 4: Simplify right side
    301,921.48x = 34,999,420,832.86
  5. Step 5: Solve for x
    x = 34,999,420,832.86/301,921.48
  6. Step 6: Final answer
    x = 115,922.26

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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.