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Finding the Fourth Proportional to 301,921.34, 452,881.72 and 77,281.42

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Solution

The fourth proportional to 301,921.34, 452,881.72 and 77,281.42 is: 115,922.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,921.34 : 452,881.72 = 77,281.42 : x
  2. Step 2: Convert to fraction form
    301,921.34/452,881.72 = 77,281.42/x
  3. Step 3: Cross multiply
    301,921.34x = 452,881.72 × 77,281.42
  4. Step 4: Simplify right side
    301,921.34x = 34,999,340,844.79
  5. Step 5: Solve for x
    x = 34,999,340,844.79/301,921.34
  6. Step 6: Final answer
    x = 115,922.05

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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.