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Finding the Fourth Proportional to 208,145.40, 312,218.10 and 103,038.20

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Solution

The fourth proportional to 208,145.40, 312,218.10 and 103,038.20 is: 154,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,145.40 : 312,218.10 = 103,038.20 : x
  2. Step 2: Convert to fraction form
    208,145.40/312,218.10 = 103,038.20/x
  3. Step 3: Cross multiply
    208,145.40x = 312,218.10 × 103,038.20
  4. Step 4: Simplify right side
    208,145.40x = 32,170,391,031.42
  5. Step 5: Solve for x
    x = 32,170,391,031.42/208,145.40
  6. Step 6: Final answer
    x = 154,557.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.