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Finding the Fourth Proportional to 97,741.64, 146,656.16 and 56,188.64

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Solution

The fourth proportional to 97,741.64, 146,656.16 and 56,188.64 is: 84,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741.64 : 146,656.16 = 56,188.64 : x
  2. Step 2: Convert to fraction form
    97,741.64/146,656.16 = 56,188.64/x
  3. Step 3: Cross multiply
    97,741.64x = 146,656.16 × 56,188.64
  4. Step 4: Simplify right side
    97,741.64x = 8,240,410,178.02
  5. Step 5: Solve for x
    x = 8,240,410,178.02/97,741.64
  6. Step 6: Final answer
    x = 84,308.08

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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.