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Finding the Fourth Proportional to 242,955.82, 364,556.80 and 163,904.02

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Solution

The fourth proportional to 242,955.82, 364,556.80 and 163,904.02 is: 245,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,955.82 : 364,556.80 = 163,904.02 : x
  2. Step 2: Convert to fraction form
    242,955.82/364,556.80 = 163,904.02/x
  3. Step 3: Cross multiply
    242,955.82x = 364,556.80 × 163,904.02
  4. Step 4: Simplify right side
    242,955.82x = 59,752,325,038.34
  5. Step 5: Solve for x
    x = 59,752,325,038.34/242,955.82
  6. Step 6: Final answer
    x = 245,939.06

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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.