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Finding the Fourth Proportional to 171,886.40, 257,829.60 and 160,222.40

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Solution

The fourth proportional to 171,886.40, 257,829.60 and 160,222.40 is: 240,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,886.40 : 257,829.60 = 160,222.40 : x
  2. Step 2: Convert to fraction form
    171,886.40/257,829.60 = 160,222.40/x
  3. Step 3: Cross multiply
    171,886.40x = 257,829.60 × 160,222.40
  4. Step 4: Simplify right side
    171,886.40x = 41,310,077,303.04
  5. Step 5: Solve for x
    x = 41,310,077,303.04/171,886.40
  6. Step 6: Final answer
    x = 240,333.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.