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Finding the Fourth Proportional to 133,186.59, 183,802.98 and 76,597.97

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Solution

The fourth proportional to 133,186.59, 183,802.98 and 76,597.97 is: 105,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,186.59 : 183,802.98 = 76,597.97 : x
  2. Step 2: Convert to fraction form
    133,186.59/183,802.98 = 76,597.97/x
  3. Step 3: Cross multiply
    133,186.59x = 183,802.98 × 76,597.97
  4. Step 4: Simplify right side
    133,186.59x = 14,078,934,228.94
  5. Step 5: Solve for x
    x = 14,078,934,228.94/133,186.59
  6. Step 6: Final answer
    x = 105,708.35

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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.