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Finding the Fourth Proportional to 97,828.65, 146,807.78 and 55,708.65

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Solution

The fourth proportional to 97,828.65, 146,807.78 and 55,708.65 is: 83,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,828.65 : 146,807.78 = 55,708.65 : x
  2. Step 2: Convert to fraction form
    97,828.65/146,807.78 = 55,708.65/x
  3. Step 3: Cross multiply
    97,828.65x = 146,807.78 × 55,708.65
  4. Step 4: Simplify right side
    97,828.65x = 8,178,462,954.75
  5. Step 5: Solve for x
    x = 8,178,462,954.75/97,828.65
  6. Step 6: Final answer
    x = 83,599.88

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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.