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Finding the Fourth Proportional to 102,065.38, 153,100.95 and 28,193.38

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Solution

The fourth proportional to 102,065.38, 153,100.95 and 28,193.38 is: 42,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,065.38 : 153,100.95 = 28,193.38 : x
  2. Step 2: Convert to fraction form
    102,065.38/153,100.95 = 28,193.38/x
  3. Step 3: Cross multiply
    102,065.38x = 153,100.95 × 28,193.38
  4. Step 4: Simplify right side
    102,065.38x = 4,316,433,261.71
  5. Step 5: Solve for x
    x = 4,316,433,261.71/102,065.38
  6. Step 6: Final answer
    x = 42,290.87

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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.