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Finding the Fourth Proportional to 133,966.32, 184,866.84 and 77,374.32

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Solution

The fourth proportional to 133,966.32, 184,866.84 and 77,374.32 is: 106,772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,966.32 : 184,866.84 = 77,374.32 : x
  2. Step 2: Convert to fraction form
    133,966.32/184,866.84 = 77,374.32/x
  3. Step 3: Cross multiply
    133,966.32x = 184,866.84 × 77,374.32
  4. Step 4: Simplify right side
    133,966.32x = 14,303,946,035.55
  5. Step 5: Solve for x
    x = 14,303,946,035.55/133,966.32
  6. Step 6: Final answer
    x = 106,772.70

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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.