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Finding the Fourth Proportional to 106,825.79, 147,403.22 and 61,495.02

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Solution

The fourth proportional to 106,825.79, 147,403.22 and 61,495.02 is: 84,853.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,825.79 : 147,403.22 = 61,495.02 : x
  2. Step 2: Convert to fraction form
    106,825.79/147,403.22 = 61,495.02/x
  3. Step 3: Cross multiply
    106,825.79x = 147,403.22 × 61,495.02
  4. Step 4: Simplify right side
    106,825.79x = 9,064,563,961.96
  5. Step 5: Solve for x
    x = 9,064,563,961.96/106,825.79
  6. Step 6: Final answer
    x = 84,853.70

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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.