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Finding the Fourth Proportional to 255,694.64, 383,597.32 and 97,923.08

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Solution

The fourth proportional to 255,694.64, 383,597.32 and 97,923.08 is: 146,905.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,694.64 : 383,597.32 = 97,923.08 : x
  2. Step 2: Convert to fraction form
    255,694.64/383,597.32 = 97,923.08/x
  3. Step 3: Cross multiply
    255,694.64x = 383,597.32 × 97,923.08
  4. Step 4: Simplify right side
    255,694.64x = 37,563,031,054.15
  5. Step 5: Solve for x
    x = 37,563,031,054.15/255,694.64
  6. Step 6: Final answer
    x = 146,905.82

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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.