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Finding the Fourth Proportional to 157,566.75, 236,350.13 and 46,758.75

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Solution

The fourth proportional to 157,566.75, 236,350.13 and 46,758.75 is: 70,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566.75 : 236,350.13 = 46,758.75 : x
  2. Step 2: Convert to fraction form
    157,566.75/236,350.13 = 46,758.75/x
  3. Step 3: Cross multiply
    157,566.75x = 236,350.13 × 46,758.75
  4. Step 4: Simplify right side
    157,566.75x = 11,051,436,407.34
  5. Step 5: Solve for x
    x = 11,051,436,407.34/157,566.75
  6. Step 6: Final answer
    x = 70,138.13

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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.