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Finding the Fourth Proportional to 157,569.48, 236,354.10 and 46,761.48

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Solution

The fourth proportional to 157,569.48, 236,354.10 and 46,761.48 is: 70,142.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,569.48 : 236,354.10 = 46,761.48 : x
  2. Step 2: Convert to fraction form
    157,569.48/236,354.10 = 46,761.48/x
  3. Step 3: Cross multiply
    157,569.48x = 236,354.10 × 46,761.48
  4. Step 4: Simplify right side
    157,569.48x = 11,052,267,520.07
  5. Step 5: Solve for x
    x = 11,052,267,520.07/157,569.48
  6. Step 6: Final answer
    x = 70,142.18

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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.