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Finding the Fourth Proportional to 345,038.16, 476,127 and 194,106

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Solution

The fourth proportional to 345,038.16, 476,127 and 194,106 is: 267,851.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,038.16 : 476,127 = 194,106 : x
  2. Step 2: Convert to fraction form
    345,038.16/476,127 = 194,106/x
  3. Step 3: Cross multiply
    345,038.16x = 476,127 × 194,106
  4. Step 4: Simplify right side
    345,038.16x = 92,419,107,462
  5. Step 5: Solve for x
    x = 92,419,107,462/345,038.16
  6. Step 6: Final answer
    x = 267,851.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.