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Finding the Fourth Proportional to 98,766, 136,298.16 and 54,054

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Solution

The fourth proportional to 98,766, 136,298.16 and 54,054 is: 74,595.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,766 : 136,298.16 = 54,054 : x
  2. Step 2: Convert to fraction form
    98,766/136,298.16 = 54,054/x
  3. Step 3: Cross multiply
    98,766x = 136,298.16 × 54,054
  4. Step 4: Simplify right side
    98,766x = 7,367,460,740.64
  5. Step 5: Solve for x
    x = 7,367,460,740.64/98,766
  6. Step 6: Final answer
    x = 74,595.11

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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.