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Finding the Fourth Proportional to 214,484.61, 296,015.01 and 123,840.42

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Solution

The fourth proportional to 214,484.61, 296,015.01 and 123,840.42 is: 170,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,484.61 : 296,015.01 = 123,840.42 : x
  2. Step 2: Convert to fraction form
    214,484.61/296,015.01 = 123,840.42/x
  3. Step 3: Cross multiply
    214,484.61x = 296,015.01 × 123,840.42
  4. Step 4: Simplify right side
    214,484.61x = 36,658,623,164.70
  5. Step 5: Solve for x
    x = 36,658,623,164.70/214,484.61
  6. Step 6: Final answer
    x = 170,914.93

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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.