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Finding the Fourth Proportional to 304,839.04, 457,289.04 and 105,133.12

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Solution

The fourth proportional to 304,839.04, 457,289.04 and 105,133.12 is: 157,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,839.04 : 457,289.04 = 105,133.12 : x
  2. Step 2: Convert to fraction form
    304,839.04/457,289.04 = 105,133.12/x
  3. Step 3: Cross multiply
    304,839.04x = 457,289.04 × 105,133.12
  4. Step 4: Simplify right side
    304,839.04x = 48,076,223,517.00
  5. Step 5: Solve for x
    x = 48,076,223,517.00/304,839.04
  6. Step 6: Final answer
    x = 157,710.19

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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.