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Finding the Fourth Proportional to 157,076.46, 216,896.31 and 145,679.58

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Solution

The fourth proportional to 157,076.46, 216,896.31 and 145,679.58 is: 201,159.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,076.46 : 216,896.31 = 145,679.58 : x
  2. Step 2: Convert to fraction form
    157,076.46/216,896.31 = 145,679.58/x
  3. Step 3: Cross multiply
    157,076.46x = 216,896.31 × 145,679.58
  4. Step 4: Simplify right side
    157,076.46x = 31,597,363,344.35
  5. Step 5: Solve for x
    x = 31,597,363,344.35/157,076.46
  6. Step 6: Final answer
    x = 201,159.13

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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.