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Finding the Fourth Proportional to 98,774.78, 136,308.16 and 53,451.77

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Solution

The fourth proportional to 98,774.78, 136,308.16 and 53,451.77 is: 73,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774.78 : 136,308.16 = 53,451.77 : x
  2. Step 2: Convert to fraction form
    98,774.78/136,308.16 = 53,451.77/x
  3. Step 3: Cross multiply
    98,774.78x = 136,308.16 × 53,451.77
  4. Step 4: Simplify right side
    98,774.78x = 7,285,912,417.44
  5. Step 5: Solve for x
    x = 7,285,912,417.44/98,774.78
  6. Step 6: Final answer
    x = 73,762.88

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1.5x scale

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.