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Finding the Fourth Proportional to 238,421.80, 357,503.10 and 98,194.60

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Solution

The fourth proportional to 238,421.80, 357,503.10 and 98,194.60 is: 147,238.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,421.80 : 357,503.10 = 98,194.60 : x
  2. Step 2: Convert to fraction form
    238,421.80/357,503.10 = 98,194.60/x
  3. Step 3: Cross multiply
    238,421.80x = 357,503.10 × 98,194.60
  4. Step 4: Simplify right side
    238,421.80x = 35,104,873,903.26
  5. Step 5: Solve for x
    x = 35,104,873,903.26/238,421.80
  6. Step 6: Final answer
    x = 147,238.52

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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.