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Finding the Fourth Proportional to 106,753.86, 160,130.55 and 100,258.47

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Solution

The fourth proportional to 106,753.86, 160,130.55 and 100,258.47 is: 150,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753.86 : 160,130.55 = 100,258.47 : x
  2. Step 2: Convert to fraction form
    106,753.86/160,130.55 = 100,258.47/x
  3. Step 3: Cross multiply
    106,753.86x = 160,130.55 × 100,258.47
  4. Step 4: Simplify right side
    106,753.86x = 16,054,443,943.26
  5. Step 5: Solve for x
    x = 16,054,443,943.26/106,753.86
  6. Step 6: Final answer
    x = 150,387.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.