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Finding the Fourth Proportional to 157,653.92, 236,454.96 and 46,820

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Solution

The fourth proportional to 157,653.92, 236,454.96 and 46,820 is: 70,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,653.92 : 236,454.96 = 46,820 : x
  2. Step 2: Convert to fraction form
    157,653.92/236,454.96 = 46,820/x
  3. Step 3: Cross multiply
    157,653.92x = 236,454.96 × 46,820
  4. Step 4: Simplify right side
    157,653.92x = 11,070,821,227.20
  5. Step 5: Solve for x
    x = 11,070,821,227.20/157,653.92
  6. Step 6: Final answer
    x = 70,222.30

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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.