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Finding the Fourth Proportional to 106,497.48, 146,973.78 and 61,785.48

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Solution

The fourth proportional to 106,497.48, 146,973.78 and 61,785.48 is: 85,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,497.48 : 146,973.78 = 61,785.48 : x
  2. Step 2: Convert to fraction form
    106,497.48/146,973.78 = 61,785.48/x
  3. Step 3: Cross multiply
    106,497.48x = 146,973.78 × 61,785.48
  4. Step 4: Simplify right side
    106,497.48x = 9,080,845,544.71
  5. Step 5: Solve for x
    x = 9,080,845,544.71/106,497.48
  6. Step 6: Final answer
    x = 85,268.17

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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.