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Finding the Fourth Proportional to 106,693.68, 147,240.18 and 63,698.16

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Solution

The fourth proportional to 106,693.68, 147,240.18 and 63,698.16 is: 87,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.68 : 147,240.18 = 63,698.16 : x
  2. Step 2: Convert to fraction form
    106,693.68/147,240.18 = 63,698.16/x
  3. Step 3: Cross multiply
    106,693.68x = 147,240.18 × 63,698.16
  4. Step 4: Simplify right side
    106,693.68x = 9,378,928,544.07
  5. Step 5: Solve for x
    x = 9,378,928,544.07/106,693.68
  6. Step 6: Final answer
    x = 87,905.19

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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.