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Finding the Fourth Proportional to 241,482, 362,242.98 and 75,270

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Solution

The fourth proportional to 241,482, 362,242.98 and 75,270 is: 112,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,482 : 362,242.98 = 75,270 : x
  2. Step 2: Convert to fraction form
    241,482/362,242.98 = 75,270/x
  3. Step 3: Cross multiply
    241,482x = 362,242.98 × 75,270
  4. Step 4: Simplify right side
    241,482x = 27,266,029,104.60
  5. Step 5: Solve for x
    x = 27,266,029,104.60/241,482
  6. Step 6: Final answer
    x = 112,911.23

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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.