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Finding the Fourth Proportional to 257,210.26, 355,123.50 and 160,561.30

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Solution

The fourth proportional to 257,210.26, 355,123.50 and 160,561.30 is: 221,682.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,210.26 : 355,123.50 = 160,561.30 : x
  2. Step 2: Convert to fraction form
    257,210.26/355,123.50 = 160,561.30/x
  3. Step 3: Cross multiply
    257,210.26x = 355,123.50 × 160,561.30
  4. Step 4: Simplify right side
    257,210.26x = 57,019,090,820.55
  5. Step 5: Solve for x
    x = 57,019,090,820.55/257,210.26
  6. Step 6: Final answer
    x = 221,682.80

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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.