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Finding the Fourth Proportional to 111,883.16, 154,398.76 and 61,582.16

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Solution

The fourth proportional to 111,883.16, 154,398.76 and 61,582.16 is: 84,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,883.16 : 154,398.76 = 61,582.16 : x
  2. Step 2: Convert to fraction form
    111,883.16/154,398.76 = 61,582.16/x
  3. Step 3: Cross multiply
    111,883.16x = 154,398.76 × 61,582.16
  4. Step 4: Simplify right side
    111,883.16x = 9,508,208,370.13
  5. Step 5: Solve for x
    x = 9,508,208,370.13/111,883.16
  6. Step 6: Final answer
    x = 84,983.38

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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.