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Finding the Fourth Proportional to 215,851.04, 297,878.12 and 119,066

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Solution

The fourth proportional to 215,851.04, 297,878.12 and 119,066 is: 164,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,851.04 : 297,878.12 = 119,066 : x
  2. Step 2: Convert to fraction form
    215,851.04/297,878.12 = 119,066/x
  3. Step 3: Cross multiply
    215,851.04x = 297,878.12 × 119,066
  4. Step 4: Simplify right side
    215,851.04x = 35,467,156,235.92
  5. Step 5: Solve for x
    x = 35,467,156,235.92/215,851.04
  6. Step 6: Final answer
    x = 164,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.