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Finding the Fourth Proportional to 141,007.38, 194,590.50 and 77,345.42

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Solution

The fourth proportional to 141,007.38, 194,590.50 and 77,345.42 is: 106,736.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,007.38 : 194,590.50 = 77,345.42 : x
  2. Step 2: Convert to fraction form
    141,007.38/194,590.50 = 77,345.42/x
  3. Step 3: Cross multiply
    141,007.38x = 194,590.50 × 77,345.42
  4. Step 4: Simplify right side
    141,007.38x = 15,050,683,950.51
  5. Step 5: Solve for x
    x = 15,050,683,950.51/141,007.38
  6. Step 6: Final answer
    x = 106,736.85

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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.