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Finding the Fourth Proportional to 157,239.81, 235,815.93 and 52,066.98

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Solution

The fourth proportional to 157,239.81, 235,815.93 and 52,066.98 is: 78,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,239.81 : 235,815.93 = 52,066.98 : x
  2. Step 2: Convert to fraction form
    157,239.81/235,815.93 = 52,066.98/x
  3. Step 3: Cross multiply
    157,239.81x = 235,815.93 × 52,066.98
  4. Step 4: Simplify right side
    157,239.81x = 12,278,223,310.99
  5. Step 5: Solve for x
    x = 12,278,223,310.99/157,239.81
  6. Step 6: Final answer
    x = 78,085.97

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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.