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Finding the Fourth Proportional to 214,382.64, 295,848.80 and 118,898.16

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Solution

The fourth proportional to 214,382.64, 295,848.80 and 118,898.16 is: 164,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,382.64 : 295,848.80 = 118,898.16 : x
  2. Step 2: Convert to fraction form
    214,382.64/295,848.80 = 118,898.16/x
  3. Step 3: Cross multiply
    214,382.64x = 295,848.80 × 118,898.16
  4. Step 4: Simplify right side
    214,382.64x = 35,175,877,958.21
  5. Step 5: Solve for x
    x = 35,175,877,958.21/214,382.64
  6. Step 6: Final answer
    x = 164,079.88

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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.