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Finding the Fourth Proportional to 240,970.78, 361,580.10 and 114,754.15

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Solution

The fourth proportional to 240,970.78, 361,580.10 and 114,754.15 is: 172,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,970.78 : 361,580.10 = 114,754.15 : x
  2. Step 2: Convert to fraction form
    240,970.78/361,580.10 = 114,754.15/x
  3. Step 3: Cross multiply
    240,970.78x = 361,580.10 × 114,754.15
  4. Step 4: Simplify right side
    240,970.78x = 41,492,817,032.42
  5. Step 5: Solve for x
    x = 41,492,817,032.42/240,970.78
  6. Step 6: Final answer
    x = 172,190.24

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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.