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Finding the Fourth Proportional to 133,859.16, 184,723.91 and 76,497.82

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Solution

The fourth proportional to 133,859.16, 184,723.91 and 76,497.82 is: 105,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,859.16 : 184,723.91 = 76,497.82 : x
  2. Step 2: Convert to fraction form
    133,859.16/184,723.91 = 76,497.82/x
  3. Step 3: Cross multiply
    133,859.16x = 184,723.91 × 76,497.82
  4. Step 4: Simplify right side
    133,859.16x = 14,130,975,110.77
  5. Step 5: Solve for x
    x = 14,130,975,110.77/133,859.16
  6. Step 6: Final answer
    x = 105,566.00

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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.