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Finding the Fourth Proportional to 260,732.40, 359,830.38 and 146,005.21

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Solution

The fourth proportional to 260,732.40, 359,830.38 and 146,005.21 is: 201,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,732.40 : 359,830.38 = 146,005.21 : x
  2. Step 2: Convert to fraction form
    260,732.40/359,830.38 = 146,005.21/x
  3. Step 3: Cross multiply
    260,732.40x = 359,830.38 × 146,005.21
  4. Step 4: Simplify right side
    260,732.40x = 52,537,110,196.28
  5. Step 5: Solve for x
    x = 52,537,110,196.28/260,732.40
  6. Step 6: Final answer
    x = 201,498.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.