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Finding the Fourth Proportional to 218,446.84, 301,455.90 and 122,953.48

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Solution

The fourth proportional to 218,446.84, 301,455.90 and 122,953.48 is: 169,675.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,446.84 : 301,455.90 = 122,953.48 : x
  2. Step 2: Convert to fraction form
    218,446.84/301,455.90 = 122,953.48/x
  3. Step 3: Cross multiply
    218,446.84x = 301,455.90 × 122,953.48
  4. Step 4: Simplify right side
    218,446.84x = 37,065,051,971.53
  5. Step 5: Solve for x
    x = 37,065,051,971.53/218,446.84
  6. Step 6: Final answer
    x = 169,675.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.