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Finding the Fourth Proportional to 229,176, 343,902.24 and 97,848

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Solution

The fourth proportional to 229,176, 343,902.24 and 97,848 is: 146,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,176 : 343,902.24 = 97,848 : x
  2. Step 2: Convert to fraction form
    229,176/343,902.24 = 97,848/x
  3. Step 3: Cross multiply
    229,176x = 343,902.24 × 97,848
  4. Step 4: Simplify right side
    229,176x = 33,650,146,379.52
  5. Step 5: Solve for x
    x = 33,650,146,379.52/229,176
  6. Step 6: Final answer
    x = 146,831.02

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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.