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Finding the Fourth Proportional to 231,464.60, 319,292.54 and 134,657.58

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Solution

The fourth proportional to 231,464.60, 319,292.54 and 134,657.58 is: 185,752.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464.60 : 319,292.54 = 134,657.58 : x
  2. Step 2: Convert to fraction form
    231,464.60/319,292.54 = 134,657.58/x
  3. Step 3: Cross multiply
    231,464.60x = 319,292.54 × 134,657.58
  4. Step 4: Simplify right side
    231,464.60x = 42,995,160,748.45
  5. Step 5: Solve for x
    x = 42,995,160,748.45/231,464.60
  6. Step 6: Final answer
    x = 185,752.64

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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.