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Finding the Fourth Proportional to 214,307.64, 295,743.15 and 118,814.31

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Solution

The fourth proportional to 214,307.64, 295,743.15 and 118,814.31 is: 163,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,307.64 : 295,743.15 = 118,814.31 : x
  2. Step 2: Convert to fraction form
    214,307.64/295,743.15 = 118,814.31/x
  3. Step 3: Cross multiply
    214,307.64x = 295,743.15 × 118,814.31
  4. Step 4: Simplify right side
    214,307.64x = 35,138,518,304.48
  5. Step 5: Solve for x
    x = 35,138,518,304.48/214,307.64
  6. Step 6: Final answer
    x = 163,962.98

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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.