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Finding the Fourth Proportional to 156,709, 216,258.42 and 89,641

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Solution

The fourth proportional to 156,709, 216,258.42 and 89,641 is: 123,704.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,709 : 216,258.42 = 89,641 : x
  2. Step 2: Convert to fraction form
    156,709/216,258.42 = 89,641/x
  3. Step 3: Cross multiply
    156,709x = 216,258.42 × 89,641
  4. Step 4: Simplify right side
    156,709x = 19,385,621,027.22
  5. Step 5: Solve for x
    x = 19,385,621,027.22/156,709
  6. Step 6: Final answer
    x = 123,704.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.