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Finding the Fourth Proportional to 109,475.80, 164,256.90 and 42,904.60

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Solution

The fourth proportional to 109,475.80, 164,256.90 and 42,904.60 is: 64,373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,475.80 : 164,256.90 = 42,904.60 : x
  2. Step 2: Convert to fraction form
    109,475.80/164,256.90 = 42,904.60/x
  3. Step 3: Cross multiply
    109,475.80x = 164,256.90 × 42,904.60
  4. Step 4: Simplify right side
    109,475.80x = 7,047,376,591.74
  5. Step 5: Solve for x
    x = 7,047,376,591.74/109,475.80
  6. Step 6: Final answer
    x = 64,373.83

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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.