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Finding the Fourth Proportional to 245,534.16, 338,840.64 and 144,932.16

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Solution

The fourth proportional to 245,534.16, 338,840.64 and 144,932.16 is: 200,008.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,534.16 : 338,840.64 = 144,932.16 : x
  2. Step 2: Convert to fraction form
    245,534.16/338,840.64 = 144,932.16/x
  3. Step 3: Cross multiply
    245,534.16x = 338,840.64 × 144,932.16
  4. Step 4: Simplify right side
    245,534.16x = 49,108,905,850.98
  5. Step 5: Solve for x
    x = 49,108,905,850.98/245,534.16
  6. Step 6: Final answer
    x = 200,008.45

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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.