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Finding the Fourth Proportional to 157,809.60, 236,714.40 and 98,827.20

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Solution

The fourth proportional to 157,809.60, 236,714.40 and 98,827.20 is: 148,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809.60 : 236,714.40 = 98,827.20 : x
  2. Step 2: Convert to fraction form
    157,809.60/236,714.40 = 98,827.20/x
  3. Step 3: Cross multiply
    157,809.60x = 236,714.40 × 98,827.20
  4. Step 4: Simplify right side
    157,809.60x = 23,393,821,351.68
  5. Step 5: Solve for x
    x = 23,393,821,351.68/157,809.60
  6. Step 6: Final answer
    x = 148,240.80

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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.