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Finding the Fourth Proportional to 106,816, 147,403.64 and 59,069.74

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Solution

The fourth proportional to 106,816, 147,403.64 and 59,069.74 is: 81,514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,816 : 147,403.64 = 59,069.74 : x
  2. Step 2: Convert to fraction form
    106,816/147,403.64 = 59,069.74/x
  3. Step 3: Cross multiply
    106,816x = 147,403.64 × 59,069.74
  4. Step 4: Simplify right side
    106,816x = 8,707,094,689.85
  5. Step 5: Solve for x
    x = 8,707,094,689.85/106,816
  6. Step 6: Final answer
    x = 81,514.89

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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.