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Finding the Fourth Proportional to 157,755.94, 236,633.91 and 46,947.94

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Solution

The fourth proportional to 157,755.94, 236,633.91 and 46,947.94 is: 70,421.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,755.94 : 236,633.91 = 46,947.94 : x
  2. Step 2: Convert to fraction form
    157,755.94/236,633.91 = 46,947.94/x
  3. Step 3: Cross multiply
    157,755.94x = 236,633.91 × 46,947.94
  4. Step 4: Simplify right side
    157,755.94x = 11,109,473,841.01
  5. Step 5: Solve for x
    x = 11,109,473,841.01/157,755.94
  6. Step 6: Final answer
    x = 70,421.91

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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.