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Finding the Fourth Proportional to 229,052.67, 343,412.88 and 153,986.60

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Solution

The fourth proportional to 229,052.67, 343,412.88 and 153,986.60 is: 230,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,052.67 : 343,412.88 = 153,986.60 : x
  2. Step 2: Convert to fraction form
    229,052.67/343,412.88 = 153,986.60/x
  3. Step 3: Cross multiply
    229,052.67x = 343,412.88 × 153,986.60
  4. Step 4: Simplify right side
    229,052.67x = 52,880,980,070.34
  5. Step 5: Solve for x
    x = 52,880,980,070.34/229,052.67
  6. Step 6: Final answer
    x = 230,868.21

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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.