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Finding the Fourth Proportional to 333,778.48, 500,698.50 and 109,140.06

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Solution

The fourth proportional to 333,778.48, 500,698.50 and 109,140.06 is: 163,720.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,778.48 : 500,698.50 = 109,140.06 : x
  2. Step 2: Convert to fraction form
    333,778.48/500,698.50 = 109,140.06/x
  3. Step 3: Cross multiply
    333,778.48x = 500,698.50 × 109,140.06
  4. Step 4: Simplify right side
    333,778.48x = 54,646,264,331.91
  5. Step 5: Solve for x
    x = 54,646,264,331.91/333,778.48
  6. Step 6: Final answer
    x = 163,720.15

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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.