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Finding the Fourth Proportional to 374,116.16, 561,106.74 and 107,811.20

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Solution

The fourth proportional to 374,116.16, 561,106.74 and 107,811.20 is: 161,697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,116.16 : 561,106.74 = 107,811.20 : x
  2. Step 2: Convert to fraction form
    374,116.16/561,106.74 = 107,811.20/x
  3. Step 3: Cross multiply
    374,116.16x = 561,106.74 × 107,811.20
  4. Step 4: Simplify right side
    374,116.16x = 60,493,590,967.49
  5. Step 5: Solve for x
    x = 60,493,590,967.49/374,116.16
  6. Step 6: Final answer
    x = 161,697.35

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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.