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Finding the Fourth Proportional to 160,208.64, 221,014.32 and 103,638.24

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Solution

The fourth proportional to 160,208.64, 221,014.32 and 103,638.24 is: 142,973.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,208.64 : 221,014.32 = 103,638.24 : x
  2. Step 2: Convert to fraction form
    160,208.64/221,014.32 = 103,638.24/x
  3. Step 3: Cross multiply
    160,208.64x = 221,014.32 × 103,638.24
  4. Step 4: Simplify right side
    160,208.64x = 22,905,535,139.60
  5. Step 5: Solve for x
    x = 22,905,535,139.60/160,208.64
  6. Step 6: Final answer
    x = 142,973.16

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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.