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Finding the Fourth Proportional to 164,365.64, 246,401.04 and 59,111

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Solution

The fourth proportional to 164,365.64, 246,401.04 and 59,111 is: 88,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,365.64 : 246,401.04 = 59,111 : x
  2. Step 2: Convert to fraction form
    164,365.64/246,401.04 = 59,111/x
  3. Step 3: Cross multiply
    164,365.64x = 246,401.04 × 59,111
  4. Step 4: Simplify right side
    164,365.64x = 14,565,011,875.44
  5. Step 5: Solve for x
    x = 14,565,011,875.44/164,365.64
  6. Step 6: Final answer
    x = 88,613.48

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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.