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Finding the Fourth Proportional to 242,753.04, 364,129.92 and 76,554

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Solution

The fourth proportional to 242,753.04, 364,129.92 and 76,554 is: 114,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,753.04 : 364,129.92 = 76,554 : x
  2. Step 2: Convert to fraction form
    242,753.04/364,129.92 = 76,554/x
  3. Step 3: Cross multiply
    242,753.04x = 364,129.92 × 76,554
  4. Step 4: Simplify right side
    242,753.04x = 27,875,601,895.68
  5. Step 5: Solve for x
    x = 27,875,601,895.68/242,753.04
  6. Step 6: Final answer
    x = 114,831.11

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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.