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Finding the Fourth Proportional to 97,833.60, 146,750.40 and 76,838.40

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Solution

The fourth proportional to 97,833.60, 146,750.40 and 76,838.40 is: 115,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.60 : 146,750.40 = 76,838.40 : x
  2. Step 2: Convert to fraction form
    97,833.60/146,750.40 = 76,838.40/x
  3. Step 3: Cross multiply
    97,833.60x = 146,750.40 × 76,838.40
  4. Step 4: Simplify right side
    97,833.60x = 11,276,065,935.36
  5. Step 5: Solve for x
    x = 11,276,065,935.36/97,833.60
  6. Step 6: Final answer
    x = 115,257.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.