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Finding the Fourth Proportional to 160,681.60, 241,021.14 and 48,361.33

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Solution

The fourth proportional to 160,681.60, 241,021.14 and 48,361.33 is: 72,541.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,681.60 : 241,021.14 = 48,361.33 : x
  2. Step 2: Convert to fraction form
    160,681.60/241,021.14 = 48,361.33/x
  3. Step 3: Cross multiply
    160,681.60x = 241,021.14 × 48,361.33
  4. Step 4: Simplify right side
    160,681.60x = 11,656,102,888.52
  5. Step 5: Solve for x
    x = 11,656,102,888.52/160,681.60
  6. Step 6: Final answer
    x = 72,541.62

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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.