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Finding the Fourth Proportional to 260,532, 359,534.16 and 147,352.32

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Solution

The fourth proportional to 260,532, 359,534.16 and 147,352.32 is: 203,346.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,532 : 359,534.16 = 147,352.32 : x
  2. Step 2: Convert to fraction form
    260,532/359,534.16 = 147,352.32/x
  3. Step 3: Cross multiply
    260,532x = 359,534.16 × 147,352.32
  4. Step 4: Simplify right side
    260,532x = 52,978,192,595.25
  5. Step 5: Solve for x
    x = 52,978,192,595.25/260,532
  6. Step 6: Final answer
    x = 203,346.20

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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.