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Finding the Fourth Proportional to 214,484.51, 296,014.86 and 123,840.32

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Solution

The fourth proportional to 214,484.51, 296,014.86 and 123,840.32 is: 170,914.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,484.51 : 296,014.86 = 123,840.32 : x
  2. Step 2: Convert to fraction form
    214,484.51/296,014.86 = 123,840.32/x
  3. Step 3: Cross multiply
    214,484.51x = 296,014.86 × 123,840.32
  4. Step 4: Simplify right side
    214,484.51x = 36,658,573,507.08
  5. Step 5: Solve for x
    x = 36,658,573,507.08/214,484.51
  6. Step 6: Final answer
    x = 170,914.79

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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.