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Finding the Fourth Proportional to 117,280, 161,856.64 and 64,298.24

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Solution

The fourth proportional to 117,280, 161,856.64 and 64,298.24 is: 88,737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 161,856.64 = 64,298.24 : x
  2. Step 2: Convert to fraction form
    117,280/161,856.64 = 64,298.24/x
  3. Step 3: Cross multiply
    117,280x = 161,856.64 × 64,298.24
  4. Step 4: Simplify right side
    117,280x = 10,407,097,084.31
  5. Step 5: Solve for x
    x = 10,407,097,084.31/117,280
  6. Step 6: Final answer
    x = 88,737.19

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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.