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Finding the Fourth Proportional to 98,876.16, 136,449.36 and 54,164.16

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Solution

The fourth proportional to 98,876.16, 136,449.36 and 54,164.16 is: 74,746.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,876.16 : 136,449.36 = 54,164.16 : x
  2. Step 2: Convert to fraction form
    98,876.16/136,449.36 = 54,164.16/x
  3. Step 3: Cross multiply
    98,876.16x = 136,449.36 × 54,164.16
  4. Step 4: Simplify right side
    98,876.16x = 7,390,664,966.94
  5. Step 5: Solve for x
    x = 7,390,664,966.94/98,876.16
  6. Step 6: Final answer
    x = 74,746.68

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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.