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Finding the Fourth Proportional to 257,206.29, 355,118.01 and 160,557.30

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Solution

The fourth proportional to 257,206.29, 355,118.01 and 160,557.30 is: 221,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,206.29 : 355,118.01 = 160,557.30 : x
  2. Step 2: Convert to fraction form
    257,206.29/355,118.01 = 160,557.30/x
  3. Step 3: Cross multiply
    257,206.29x = 355,118.01 × 160,557.30
  4. Step 4: Simplify right side
    257,206.29x = 57,016,788,866.97
  5. Step 5: Solve for x
    x = 57,016,788,866.97/257,206.29
  6. Step 6: Final answer
    x = 221,677.27

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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.