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Finding the Fourth Proportional to 180,426.48, 248,978.14 and 99,849.16

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Solution

The fourth proportional to 180,426.48, 248,978.14 and 99,849.16 is: 137,786.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,426.48 : 248,978.14 = 99,849.16 : x
  2. Step 2: Convert to fraction form
    180,426.48/248,978.14 = 99,849.16/x
  3. Step 3: Cross multiply
    180,426.48x = 248,978.14 × 99,849.16
  4. Step 4: Simplify right side
    180,426.48x = 24,860,258,137.36
  5. Step 5: Solve for x
    x = 24,860,258,137.36/180,426.48
  6. Step 6: Final answer
    x = 137,786.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.