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Finding the Fourth Proportional to 98,994, 136,618.24 and 54,282

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Solution

The fourth proportional to 98,994, 136,618.24 and 54,282 is: 74,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,994 : 136,618.24 = 54,282 : x
  2. Step 2: Convert to fraction form
    98,994/136,618.24 = 54,282/x
  3. Step 3: Cross multiply
    98,994x = 136,618.24 × 54,282
  4. Step 4: Simplify right side
    98,994x = 7,415,911,303.68
  5. Step 5: Solve for x
    x = 7,415,911,303.68/98,994
  6. Step 6: Final answer
    x = 74,912.74

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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.