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Finding the Fourth Proportional to 117,776, 162,533.44 and 64,784

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Solution

The fourth proportional to 117,776, 162,533.44 and 64,784 is: 89,403.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,776 : 162,533.44 = 64,784 : x
  2. Step 2: Convert to fraction form
    117,776/162,533.44 = 64,784/x
  3. Step 3: Cross multiply
    117,776x = 162,533.44 × 64,784
  4. Step 4: Simplify right side
    117,776x = 10,529,566,376.96
  5. Step 5: Solve for x
    x = 10,529,566,376.96/117,776
  6. Step 6: Final answer
    x = 89,403.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.