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Finding the Fourth Proportional to 164,294.40, 246,468.16 and 64,400.40

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Solution

The fourth proportional to 164,294.40, 246,468.16 and 64,400.40 is: 96,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,294.40 : 246,468.16 = 64,400.40 : x
  2. Step 2: Convert to fraction form
    164,294.40/246,468.16 = 64,400.40/x
  3. Step 3: Cross multiply
    164,294.40x = 246,468.16 × 64,400.40
  4. Step 4: Simplify right side
    164,294.40x = 15,872,648,091.26
  5. Step 5: Solve for x
    x = 15,872,648,091.26/164,294.40
  6. Step 6: Final answer
    x = 96,611.01

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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.