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Finding the Fourth Proportional to 106,444.32, 146,894.16 and 58,699.38

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Solution

The fourth proportional to 106,444.32, 146,894.16 and 58,699.38 is: 81,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,444.32 : 146,894.16 = 58,699.38 : x
  2. Step 2: Convert to fraction form
    106,444.32/146,894.16 = 58,699.38/x
  3. Step 3: Cross multiply
    106,444.32x = 146,894.16 × 58,699.38
  4. Step 4: Simplify right side
    106,444.32x = 8,622,596,117.62
  5. Step 5: Solve for x
    x = 8,622,596,117.62/106,444.32
  6. Step 6: Final answer
    x = 81,005.69

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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.