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Finding the Fourth Proportional to 229,210.16, 343,737.37 and 79,415.48

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Solution

The fourth proportional to 229,210.16, 343,737.37 and 79,415.48 is: 119,096.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,210.16 : 343,737.37 = 79,415.48 : x
  2. Step 2: Convert to fraction form
    229,210.16/343,737.37 = 79,415.48/x
  3. Step 3: Cross multiply
    229,210.16x = 343,737.37 × 79,415.48
  4. Step 4: Simplify right side
    229,210.16x = 27,298,066,116.72
  5. Step 5: Solve for x
    x = 27,298,066,116.72/229,210.16
  6. Step 6: Final answer
    x = 119,096.23

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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.