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Finding the Fourth Proportional to 476,103.80, 714,159.74 and 121,118.12

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Solution

The fourth proportional to 476,103.80, 714,159.74 and 121,118.12 is: 181,678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,103.80 : 714,159.74 = 121,118.12 : x
  2. Step 2: Convert to fraction form
    476,103.80/714,159.74 = 121,118.12/x
  3. Step 3: Cross multiply
    476,103.80x = 714,159.74 × 121,118.12
  4. Step 4: Simplify right side
    476,103.80x = 86,497,685,088.49
  5. Step 5: Solve for x
    x = 86,497,685,088.49/476,103.80
  6. Step 6: Final answer
    x = 181,678.21

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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.