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Finding the Fourth Proportional to 121,675.84, 182,259.50 and 97,854.56

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Solution

The fourth proportional to 121,675.84, 182,259.50 and 97,854.56 is: 146,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,675.84 : 182,259.50 = 97,854.56 : x
  2. Step 2: Convert to fraction form
    121,675.84/182,259.50 = 97,854.56/x
  3. Step 3: Cross multiply
    121,675.84x = 182,259.50 × 97,854.56
  4. Step 4: Simplify right side
    121,675.84x = 17,834,923,178.32
  5. Step 5: Solve for x
    x = 17,834,923,178.32/121,675.84
  6. Step 6: Final answer
    x = 146,577.36

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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.