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Finding the Fourth Proportional to 99,873.36, 149,752.08 and 47,282.40

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Solution

The fourth proportional to 99,873.36, 149,752.08 and 47,282.40 is: 70,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873.36 : 149,752.08 = 47,282.40 : x
  2. Step 2: Convert to fraction form
    99,873.36/149,752.08 = 47,282.40/x
  3. Step 3: Cross multiply
    99,873.36x = 149,752.08 × 47,282.40
  4. Step 4: Simplify right side
    99,873.36x = 7,080,637,747.39
  5. Step 5: Solve for x
    x = 7,080,637,747.39/99,873.36
  6. Step 6: Final answer
    x = 70,896.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.