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Finding the Fourth Proportional to 183,098.48, 274,741.88 and 138,710.48

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Solution

The fourth proportional to 183,098.48, 274,741.88 and 138,710.48 is: 208,137.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,098.48 : 274,741.88 = 138,710.48 : x
  2. Step 2: Convert to fraction form
    183,098.48/274,741.88 = 138,710.48/x
  3. Step 3: Cross multiply
    183,098.48x = 274,741.88 × 138,710.48
  4. Step 4: Simplify right side
    183,098.48x = 38,109,578,050.90
  5. Step 5: Solve for x
    x = 38,109,578,050.90/183,098.48
  6. Step 6: Final answer
    x = 208,137.05

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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.