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Finding the Fourth Proportional to 210,463.85, 290,509.34 and 167,522.11

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Solution

The fourth proportional to 210,463.85, 290,509.34 and 167,522.11 is: 231,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,463.85 : 290,509.34 = 167,522.11 : x
  2. Step 2: Convert to fraction form
    210,463.85/290,509.34 = 167,522.11/x
  3. Step 3: Cross multiply
    210,463.85x = 290,509.34 × 167,522.11
  4. Step 4: Simplify right side
    210,463.85x = 48,666,736,047.62
  5. Step 5: Solve for x
    x = 48,666,736,047.62/210,463.85
  6. Step 6: Final answer
    x = 231,235.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.