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Finding the Fourth Proportional to 238,695.68, 358,043.40 and 113,657.60

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Solution

The fourth proportional to 238,695.68, 358,043.40 and 113,657.60 is: 170,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,695.68 : 358,043.40 = 113,657.60 : x
  2. Step 2: Convert to fraction form
    238,695.68/358,043.40 = 113,657.60/x
  3. Step 3: Cross multiply
    238,695.68x = 358,043.40 × 113,657.60
  4. Step 4: Simplify right side
    238,695.68x = 40,694,353,539.84
  5. Step 5: Solve for x
    x = 40,694,353,539.84/238,695.68
  6. Step 6: Final answer
    x = 170,486.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.