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Finding the Fourth Proportional to 106,441.58, 146,884.38 and 61,088.06

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Solution

The fourth proportional to 106,441.58, 146,884.38 and 61,088.06 is: 84,298.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,441.58 : 146,884.38 = 61,088.06 : x
  2. Step 2: Convert to fraction form
    106,441.58/146,884.38 = 61,088.06/x
  3. Step 3: Cross multiply
    106,441.58x = 146,884.38 × 61,088.06
  4. Step 4: Simplify right side
    106,441.58x = 8,972,881,818.50
  5. Step 5: Solve for x
    x = 8,972,881,818.50/106,441.58
  6. Step 6: Final answer
    x = 84,298.65

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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.