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Finding the Fourth Proportional to 157,735, 236,604.12 and 46,927

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Solution

The fourth proportional to 157,735, 236,604.12 and 46,927 is: 70,390.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,735 : 236,604.12 = 46,927 : x
  2. Step 2: Convert to fraction form
    157,735/236,604.12 = 46,927/x
  3. Step 3: Cross multiply
    157,735x = 236,604.12 × 46,927
  4. Step 4: Simplify right side
    157,735x = 11,103,121,539.24
  5. Step 5: Solve for x
    x = 11,103,121,539.24/157,735
  6. Step 6: Final answer
    x = 70,390.98

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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.