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Finding the Fourth Proportional to 175,468.08, 263,305.80 and 64,737.84

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Solution

The fourth proportional to 175,468.08, 263,305.80 and 64,737.84 is: 97,145.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,468.08 : 263,305.80 = 64,737.84 : x
  2. Step 2: Convert to fraction form
    175,468.08/263,305.80 = 64,737.84/x
  3. Step 3: Cross multiply
    175,468.08x = 263,305.80 × 64,737.84
  4. Step 4: Simplify right side
    175,468.08x = 17,045,848,751.47
  5. Step 5: Solve for x
    x = 17,045,848,751.47/175,468.08
  6. Step 6: Final answer
    x = 97,145.01

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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.