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Finding the Fourth Proportional to 214,176.64, 295,565.53 and 118,684.93

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Solution

The fourth proportional to 214,176.64, 295,565.53 and 118,684.93 is: 163,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,176.64 : 295,565.53 = 118,684.93 : x
  2. Step 2: Convert to fraction form
    214,176.64/295,565.53 = 118,684.93/x
  3. Step 3: Cross multiply
    214,176.64x = 295,565.53 × 118,684.93
  4. Step 4: Simplify right side
    214,176.64x = 35,079,174,680.66
  5. Step 5: Solve for x
    x = 35,079,174,680.66/214,176.64
  6. Step 6: Final answer
    x = 163,786.18

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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.