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Finding the Fourth Proportional to 157,041, 235,604.70 and 46,233

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Solution

The fourth proportional to 157,041, 235,604.70 and 46,233 is: 69,362.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,041 : 235,604.70 = 46,233 : x
  2. Step 2: Convert to fraction form
    157,041/235,604.70 = 46,233/x
  3. Step 3: Cross multiply
    157,041x = 235,604.70 × 46,233
  4. Step 4: Simplify right side
    157,041x = 10,892,712,095.10
  5. Step 5: Solve for x
    x = 10,892,712,095.10/157,041
  6. Step 6: Final answer
    x = 69,362.22

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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.