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Finding the Fourth Proportional to 229,265.40, 343,898.10 and 159,281.40

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Solution

The fourth proportional to 229,265.40, 343,898.10 and 159,281.40 is: 238,922.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,265.40 : 343,898.10 = 159,281.40 : x
  2. Step 2: Convert to fraction form
    229,265.40/343,898.10 = 159,281.40/x
  3. Step 3: Cross multiply
    229,265.40x = 343,898.10 × 159,281.40
  4. Step 4: Simplify right side
    229,265.40x = 54,776,570,825.34
  5. Step 5: Solve for x
    x = 54,776,570,825.34/229,265.40
  6. Step 6: Final answer
    x = 238,922.10

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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.