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Finding the Fourth Proportional to 157,223.75, 235,832.83 and 38,895.08

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Solution

The fourth proportional to 157,223.75, 235,832.83 and 38,895.08 is: 58,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,223.75 : 235,832.83 = 38,895.08 : x
  2. Step 2: Convert to fraction form
    157,223.75/235,832.83 = 38,895.08/x
  3. Step 3: Cross multiply
    157,223.75x = 235,832.83 × 38,895.08
  4. Step 4: Simplify right side
    157,223.75x = 9,172,735,513.07
  5. Step 5: Solve for x
    x = 9,172,735,513.07/157,223.75
  6. Step 6: Final answer
    x = 58,341.92

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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.