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Finding the Fourth Proportional to 160,894.40, 241,368.64 and 67,407.36

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Solution

The fourth proportional to 160,894.40, 241,368.64 and 67,407.36 is: 101,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,894.40 : 241,368.64 = 67,407.36 : x
  2. Step 2: Convert to fraction form
    160,894.40/241,368.64 = 67,407.36/x
  3. Step 3: Cross multiply
    160,894.40x = 241,368.64 × 67,407.36
  4. Step 4: Simplify right side
    160,894.40x = 16,270,022,809.19
  5. Step 5: Solve for x
    x = 16,270,022,809.19/160,894.40
  6. Step 6: Final answer
    x = 101,122.37

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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.