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Finding the Fourth Proportional to 160,057.58, 240,098.52 and 47,729.01

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Solution

The fourth proportional to 160,057.58, 240,098.52 and 47,729.01 is: 71,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,057.58 : 240,098.52 = 47,729.01 : x
  2. Step 2: Convert to fraction form
    160,057.58/240,098.52 = 47,729.01/x
  3. Step 3: Cross multiply
    160,057.58x = 240,098.52 × 47,729.01
  4. Step 4: Simplify right side
    160,057.58x = 11,459,664,662.07
  5. Step 5: Solve for x
    x = 11,459,664,662.07/160,057.58
  6. Step 6: Final answer
    x = 71,597.14

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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.