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Finding the Fourth Proportional to 106,689.64, 147,231.14 and 58,946.28

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Solution

The fourth proportional to 106,689.64, 147,231.14 and 58,946.28 is: 81,345.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,689.64 : 147,231.14 = 58,946.28 : x
  2. Step 2: Convert to fraction form
    106,689.64/147,231.14 = 58,946.28/x
  3. Step 3: Cross multiply
    106,689.64x = 147,231.14 × 58,946.28
  4. Step 4: Simplify right side
    106,689.64x = 8,678,728,003.16
  5. Step 5: Solve for x
    x = 8,678,728,003.16/106,689.64
  6. Step 6: Final answer
    x = 81,345.56

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1.5x scale

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.