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Finding the Fourth Proportional to 242,068.80, 362,714.40 and 158,865.60

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Solution

The fourth proportional to 242,068.80, 362,714.40 and 158,865.60 is: 238,043.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,068.80 : 362,714.40 = 158,865.60 : x
  2. Step 2: Convert to fraction form
    242,068.80/362,714.40 = 158,865.60/x
  3. Step 3: Cross multiply
    242,068.80x = 362,714.40 × 158,865.60
  4. Step 4: Simplify right side
    242,068.80x = 57,622,840,784.64
  5. Step 5: Solve for x
    x = 57,622,840,784.64/242,068.80
  6. Step 6: Final answer
    x = 238,043.24

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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.