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Finding the Fourth Proportional to 133,358.40, 184,052 and 76,772.16

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Solution

The fourth proportional to 133,358.40, 184,052 and 76,772.16 is: 105,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,358.40 : 184,052 = 76,772.16 : x
  2. Step 2: Convert to fraction form
    133,358.40/184,052 = 76,772.16/x
  3. Step 3: Cross multiply
    133,358.40x = 184,052 × 76,772.16
  4. Step 4: Simplify right side
    133,358.40x = 14,130,069,592.32
  5. Step 5: Solve for x
    x = 14,130,069,592.32/133,358.40
  6. Step 6: Final answer
    x = 105,955.60

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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.