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Finding the Fourth Proportional to 106,978.14, 147,632.14 and 58,582.11

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Solution

The fourth proportional to 106,978.14, 147,632.14 and 58,582.11 is: 80,844.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,978.14 : 147,632.14 = 58,582.11 : x
  2. Step 2: Convert to fraction form
    106,978.14/147,632.14 = 58,582.11/x
  3. Step 3: Cross multiply
    106,978.14x = 147,632.14 × 58,582.11
  4. Step 4: Simplify right side
    106,978.14x = 8,648,602,265.02
  5. Step 5: Solve for x
    x = 8,648,602,265.02/106,978.14
  6. Step 6: Final answer
    x = 80,844.58

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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.