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Finding the Fourth Proportional to 130,434.60, 180,042.50 and 76,716.84

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Solution

The fourth proportional to 130,434.60, 180,042.50 and 76,716.84 is: 105,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,434.60 : 180,042.50 = 76,716.84 : x
  2. Step 2: Convert to fraction form
    130,434.60/180,042.50 = 76,716.84/x
  3. Step 3: Cross multiply
    130,434.60x = 180,042.50 × 76,716.84
  4. Step 4: Simplify right side
    130,434.60x = 13,812,291,665.70
  5. Step 5: Solve for x
    x = 13,812,291,665.70/130,434.60
  6. Step 6: Final answer
    x = 105,894.38

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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.