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Finding the Fourth Proportional to 106,598.96, 147,111.32 and 61,291.64

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Solution

The fourth proportional to 106,598.96, 147,111.32 and 61,291.64 is: 84,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,598.96 : 147,111.32 = 61,291.64 : x
  2. Step 2: Convert to fraction form
    106,598.96/147,111.32 = 61,291.64/x
  3. Step 3: Cross multiply
    106,598.96x = 147,111.32 × 61,291.64
  4. Step 4: Simplify right side
    106,598.96x = 9,016,694,065.36
  5. Step 5: Solve for x
    x = 9,016,694,065.36/106,598.96
  6. Step 6: Final answer
    x = 84,585.20

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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.