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Finding the Fourth Proportional to 233,104.60, 349,829.70 and 154,192.60

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Solution

The fourth proportional to 233,104.60, 349,829.70 and 154,192.60 is: 231,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,104.60 : 349,829.70 = 154,192.60 : x
  2. Step 2: Convert to fraction form
    233,104.60/349,829.70 = 154,192.60/x
  3. Step 3: Cross multiply
    233,104.60x = 349,829.70 × 154,192.60
  4. Step 4: Simplify right side
    233,104.60x = 53,941,151,000.22
  5. Step 5: Solve for x
    x = 53,941,151,000.22/233,104.60
  6. Step 6: Final answer
    x = 231,403.20

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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.