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Finding the Fourth Proportional to 133,473.84, 184,214.64 and 76,113.30

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Solution

The fourth proportional to 133,473.84, 184,214.64 and 76,113.30 is: 105,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,473.84 : 184,214.64 = 76,113.30 : x
  2. Step 2: Convert to fraction form
    133,473.84/184,214.64 = 76,113.30/x
  3. Step 3: Cross multiply
    133,473.84x = 184,214.64 × 76,113.30
  4. Step 4: Simplify right side
    133,473.84x = 14,021,184,158.71
  5. Step 5: Solve for x
    x = 14,021,184,158.71/133,473.84
  6. Step 6: Final answer
    x = 105,048.18

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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.