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Finding the Fourth Proportional to 170,018, 254,971.86 and 56,140.20

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Solution

The fourth proportional to 170,018, 254,971.86 and 56,140.20 is: 84,192.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,018 : 254,971.86 = 56,140.20 : x
  2. Step 2: Convert to fraction form
    170,018/254,971.86 = 56,140.20/x
  3. Step 3: Cross multiply
    170,018x = 254,971.86 × 56,140.20
  4. Step 4: Simplify right side
    170,018x = 14,314,171,214.77
  5. Step 5: Solve for x
    x = 14,314,171,214.77/170,018
  6. Step 6: Final answer
    x = 84,192.09

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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.