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Finding the Fourth Proportional to 153,857.16, 212,155.50 and 100,042.38

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Solution

The fourth proportional to 153,857.16, 212,155.50 and 100,042.38 is: 137,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,857.16 : 212,155.50 = 100,042.38 : x
  2. Step 2: Convert to fraction form
    153,857.16/212,155.50 = 100,042.38/x
  3. Step 3: Cross multiply
    153,857.16x = 212,155.50 × 100,042.38
  4. Step 4: Simplify right side
    153,857.16x = 21,224,539,589.10
  5. Step 5: Solve for x
    x = 21,224,539,589.10/153,857.16
  6. Step 6: Final answer
    x = 137,949.64

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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.