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Finding the Fourth Proportional to 229,477.70, 343,924.47 and 129,693.53

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Solution

The fourth proportional to 229,477.70, 343,924.47 and 129,693.53 is: 194,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,477.70 : 343,924.47 = 129,693.53 : x
  2. Step 2: Convert to fraction form
    229,477.70/343,924.47 = 129,693.53/x
  3. Step 3: Cross multiply
    229,477.70x = 343,924.47 × 129,693.53
  4. Step 4: Simplify right side
    229,477.70x = 44,604,776,848.06
  5. Step 5: Solve for x
    x = 44,604,776,848.06/229,477.70
  6. Step 6: Final answer
    x = 194,375.22

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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.