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Finding the Fourth Proportional to 174,525.64, 240,838.94 and 106,656.16

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Solution

The fourth proportional to 174,525.64, 240,838.94 and 106,656.16 is: 147,181.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,525.64 : 240,838.94 = 106,656.16 : x
  2. Step 2: Convert to fraction form
    174,525.64/240,838.94 = 106,656.16/x
  3. Step 3: Cross multiply
    174,525.64x = 240,838.94 × 106,656.16
  4. Step 4: Simplify right side
    174,525.64x = 25,686,956,518.87
  5. Step 5: Solve for x
    x = 25,686,956,518.87/174,525.64
  6. Step 6: Final answer
    x = 147,181.56

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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.