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Finding the Fourth Proportional to 210,920.56, 291,088.55 and 120,280.34

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Solution

The fourth proportional to 210,920.56, 291,088.55 and 120,280.34 is: 165,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,920.56 : 291,088.55 = 120,280.34 : x
  2. Step 2: Convert to fraction form
    210,920.56/291,088.55 = 120,280.34/x
  3. Step 3: Cross multiply
    210,920.56x = 291,088.55 × 120,280.34
  4. Step 4: Simplify right side
    210,920.56x = 35,012,230,792.53
  5. Step 5: Solve for x
    x = 35,012,230,792.53/210,920.56
  6. Step 6: Final answer
    x = 165,997.24

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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.