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Finding the Fourth Proportional to 106,235.64, 146,585.16 and 65,959.20

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Solution

The fourth proportional to 106,235.64, 146,585.16 and 65,959.20 is: 91,011.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,235.64 : 146,585.16 = 65,959.20 : x
  2. Step 2: Convert to fraction form
    106,235.64/146,585.16 = 65,959.20/x
  3. Step 3: Cross multiply
    106,235.64x = 146,585.16 × 65,959.20
  4. Step 4: Simplify right side
    106,235.64x = 9,668,639,885.47
  5. Step 5: Solve for x
    x = 9,668,639,885.47/106,235.64
  6. Step 6: Final answer
    x = 91,011.26

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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.